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Review

Watch the Next Step: A Comprehensive Survey of Stair-Climbing Vehicles

by
Antonio Pappalettera
,
Francesco Bottiglione
,
Giacomo Mantriota
and
Giulio Reina
*,†
Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, 70126 Bari, Italy
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Robotics 2023, 12(3), 74; https://doi.org/10.3390/robotics12030074
Submission received: 31 March 2023 / Revised: 9 May 2023 / Accepted: 13 May 2023 / Published: 18 May 2023
(This article belongs to the Special Issue Robotics and AI for Precision Agriculture)

Abstract

:
Stair climbing is one of the most challenging tasks for vehicles, especially when transporting people and heavy loads. Although many solutions have been proposed and demonstrated in practice, it is necessary to further improve their climbing ability and safety. This paper presents a systematic review of the scientific and engineering stair climbing literature, providing brief descriptions of the mechanism and method of operation and highlighting the advantages and disadvantages of different types of climbing platform. To quantitatively evaluate the system performance, various metrics are presented that consider allowable payload, maximum climbing speed, maximum crossable slope, transport ability and their combinations. Using these metrics, it is possible to compare vehicles with different locomotion modes and properties, allowing researchers and practitioners to gain in-depth knowledge of stair-climbing vehicles and choose the best category for transporting people and heavy loads up a flight of stairs.

1. Introduction

The number of people affected by any form of physical disability represents a significant part of the world population, from children to adults alike. It is estimated that approximately 131 million or 1.85% of people require wheelchairs in the world [1]. Almost 1% of United States population currently uses a wheelchair. Half of them must overcome steps to enter and exit their homes. A similar fraction report having difficulty entering or leaving the home [2]. In any case, there are also people without disabilities to consider. According to the National Center for Health Statistics (Hyattsville, MD, USA), only in the USA, the percent of adults aged 18 and over with any difficulty walking or climbing steps in 2020 is 18.0%, almost 60 million of people [3].
Despite that, the worldwide number of people who find it difficult to overcome architectural barriers daily has not yet been estimated. Because the world population is aging, the people mobility problems are of increasing importance. In Italy, many multi-story residential buildings are not accessible by people with disabilities or walking problems because in them there is no elevator (or similar) for connection to the upper floors. The situation in schools is no better. The ISTAT (The Italian National Institute of Statistics) sources reveal that only 32% of them are barrier-free. In 63% of cases, the reason for the lack of accessibility is the lack of an elevator or the presence of a lift that is not suitable for the transport of people with motor disabilities [4].
Ground vehicles can help to solve these problems [5,6]. They face many challenges, including the negotiation of obstacles [7,8], stairs [9,10] and uneven terrain [11,12,13,14]. Recently, much attention has been attracted by solutions that allow to overcome a series of steps towards stair-climbing platforms [15]. In order to design a ground vehicle that can successfully transport people and heavy loads up a flight of stairs, we started to look at existing solutions to obtain useful information for design purposes. However, the stair-climbing literature is very sparse and poorly organized. In this paper, an attempt to survey the state-of-the-art in this field is pursued. Since all the solutions proposed entail a rather high level of automation, we will refer throughout the paper interchangeably to stair-climbing robots or vehicles. However, some of the prototypes included in the survey are human operated and not fully autonomous. One common aspect is that all the proposed solutions use a fully electric propulsion system.
Stair climbing is a very challenging task for a mobile robot. It is now necessary to define what is meant by robots that climb stairs. The idea is to look at those vehicles that have the ability to overcome, without the human muscular help, an architectural barrier such as the one shown in Figure 1, adapting itself effectively to different lengths of rise, run, tread and respecting the presence of nosing. During the whole obstacle negotiation stage, safety and tip over stability need to be guaranteed while avoiding immobilization conditions.
Many climbing systems configurations, which include legged-type, crawler-type, wheeled-type, or combination of the previous, have been proposed in the literature as effective solutions to climb a flight of stairs in addition to driving on regular flat surfaces. These mobile robots can be manually controlled, semi-automated or fully automated using software algorithm combined with embedded CPUs, sensors and cameras [16].
This paper surveys the current state of the art of stair-climbing robots to provide an at-a-glance view of the vast literature, including both commercial and research examples. Another important contribution refers to the introduction of metrics to quantitatively evaluate the climbing performance and allow vehicles with heterogenous properties and locomotion types to be fairly compared. While the previous literature reviews have focused on specific aspects, including step-climbing ability of power wheelchairs [17], traction characteristics of explosive ordnance disposal (EOD) robots [18], tracked locomotion systems [19] and load carriage assistive devices [20], here a comprehensive overview covering a wide range of stair-climbing vehicles is presented.
This work is intended to be prescriptive for the readers. The proposed methodology of analysis, based on quantitative measurable metrics such as allowable payload, maximum climbing speed, maximum crossable slope and transport ability, can be used as an effective criterion to obtain important robot features that cannot be deduced a priori through a single qualitative analysis of the stair-climbing systems. Researchers and engineers can choose exactly the most suitable stair climbing solution to meet the project requirements based on and learning from the results presented in the following when designing new stair-climbing vehicles.
The article is organized as follows. Section 2 proposes a general categorization of climbing vehicles considering payload capacity and locomotion mode. Next, a detailed description of the different families of robots is provided in Section 3. Section 4 presents performance measures and a side-by-side comparison among the various vehicle type, along with a discussion of cost and complexity. Finally, Section 5 concludes this survey providing relevant conclusions as to which category of robot is best able to transport people and heavy loads up a flight of stairs.

2. Categorization of Stair-Climbing Vehicles

Many examples of stair-climbing vehicles have been proposed and demonstrated. They can be divided into broad categories according to the scheme shown in Figure 2. One of the main aspects to consider is whether the robot is designed to carry a payload. Therefore, the first main classification can be made by differentiating “payload robots” from “no payload robots”. In this classification, we consider payload may be people, animals or goods that should be carried safely by the robot through a desired path. On the contrary, equipment attached to the robot and not directly involved in the motion ability, such as additional sensors and cameras, robotic arms and tools, are not considered as payload but rather part of the robots itself.
Payload robots can be further divided into wheelchair and carrier type. Wheelchair types are systems in which a wheelchair for the transport of a person is used. In carrier types, a container is used instead to allocate goods.
Finally, wheelchair type, carrier type and no payload robots can be divided according to the stair-climbing mechanism used. These mechanisms belong to five main categories: track-based, wheel cluster-based, articulated mechanism-based, hybrid and leg-based and wheel-based systems.
(1)
Track-based mechanisms have the largest ground contact surface and are very stable due to a lower center of gravity. To facilitate the stair-climbing process, tracks can be equipped with teeth. Track-based mechanisms enable robots to climb up or down the stairs at a constant speed in a stable manner due to the interlocking effect between the track’s outer teeth and the steps’ sharp corner. There are no problems regarding the different length of rise, run, tread and noising of the stair steps’ shape. The track-based mechanisms are widely adopted.
(2)
Wheel cluster-based mechanisms: A wheel cluster is a component with multiple wheels uniformly distributed in the same plane around a common center. While using a stair-climbing mechanism, the wheels rotate around the central axis of the wheel cluster and propel the robot up or down the stairs. Often, wheel cluster-based mechanism robots are not able to overcome all type of stair, so a range of available step lengths are given. Wheel cluster-based robots are characterized by speed fluctuation during the ascending and descending motion.
(3)
Articulated mechanism-based systems: This type of stair-climbing robots uses an articulated mechanism in combination with wheels to accomplish the stair-climbing task.
(4)
Hybrid and leg-based mechanisms: This type of stair-climbing mechanism originates from the imitation of humans’ and animals’ stair-climbing techniques, using legs and feet to walk on various steps. Theoretically they can adapt to all type of stairs provided that the control system is sufficiently developed.
(5)
Wheel-based mechanisms: Two or more wheels are used to perform the stair-climbing task. They can be suspended respect to the robot’s frame, using mechanical suspension, or not. Wheeled robots can reach high speeds with low power consumption.

3. Payload Robots

These types of vehicles are designed to carry a load during staircase negotiation. They can be divided into wheelchair type (please refer to Figure 3a), where the person transported is seen as a payload, or carrier type (see Figure 3b). Both families are described in detail in the remainder of this section.

3.1. Wheelchair Type Robots

Since the 1990s, many research results on wheelchair-type stair climbing robots have been achieved and a variety of commercial wheelchairs and prototypes have been developed [23]. Many examples of wheelchair-type stairs have been demonstrated at Cybathlon [24]. Cybathlon is a non-profit project of ETH Zurich (Zurich, Germany) who acts as a platform that challenges teams from all over the world to develop assistive technologies suitable for everyday use with and for people with disabilities. Different disciplines comprise the competitions. They apply the most modern powered devices such as prostheses, wearable exoskeletons, wheelchairs and functional electrical stimulation, as well as novel brain–computer interfaces to remove barriers between the public, people with disabilities and science. In the Powered wheelchair race competition, the most modern solutions compete with each other. Among the different tasks there is precisely that of overcoming a small series of steps.
Some examples of wheelchair type robots are now presented using classification shown in Figure 2. Track-based robots are reported in Table 1.
Most of the solutions [25,26,29,30,33,34] use wheels as preferred locomotion mode on regular flat ground while the track-based system is stowed under the carriage. Obstacle negotiation is performed in track locomotion mode: the position of the tracks is changed so that they are lowered to the ground while wheels detach from the ground. Instead, in [27,30,33] a reconfigurable track-based system is proposed to prepare the robot to negotiate stairs: in WT-Wheelchair internal linkages, positions are changed while front and rear flipper angulation are used in B-Free Ranger and Fortissimo. The wheelchair-type robots that participated in the Cybathlon are: Scewo Bro [25], B-Free Ranger [30], ZED evolution [31], Caterwil GTS5 Lux [32], Fortissimo [33], Hkust [33], All-Terrain Wheelchair [34].
The wheel cluster robots are reported in Table 2.
Each solution has very different features from others. iBOT 4000 [35] has inverted pendulum-type dynamic stability control to go up and down stairs while holding the seat stable. Wheelchair.q [37] is composed of a pair of locomotion units and a retractable track that guarantees the rear support point. Finally, Castillo [39], uses four X-shaped wheels to climb and descend stairs while the seat angle of the wheelchair can be changed to hold the center of gravity close to the center of the supporting polygon. Hybrid and leg-based robots are reported in Table 3.
Wang [40] and Zero Carrier [41,42] have chain-driven legs that move vertically and wheels at the end of each leg. Some are driven to provide forward locomotion while other are passive wheels. Lee wheelchair [47] (not shown in Table 3) climbs stairs using the two 3-DOF legs with boomerang-shaped feet. The leg mechanisms are folded into the compact wheelchair body when the wheelchair moves over flat surfaces. JWCR-1 [43,44] and WL-16 II [45] simulate humanoid walking to going up and down stairs. The first uses 12-DOF mechanism to replicate a human leg while the second has 6-DOF parallel mechanism for each leg. Articulated Mechanism-based robots are reported in Table 4.
In general, they use a wheel or wheels mounted on a structure whose position changes during stair climbing. Chen [55] and TBW-I [53] use simple rotation to change the shape of the mechanism, Morales [51] and Lawn [52] use deployable rigid supports to lift the device and a secondary mechanism to place the wheels on the new support surface. Finally, RT-Mover PType WA [48] has two leg-like axle mechanism and a seat slider. Four wheels are mounted at the leg tips. Every leg-like mechanism possesses two shafts: one for roll adjustments and one for steering adjustment. RT-Mover PType WA [48,49,50] and RPWheel [56] wheelchair type robots participated at the 2020 Cybathlon edition.

3.2. Carrier Type Robots

One goal of robotics is to replace human operators in daily tasks. Mobile robots for goods delivery represent an important application area. The challenge that these robots must face is to climb a flight of stairs (up and down) of a building carrying a load. With reference to the classification proposed in Section 2, examples of carrier-type stair-climbing vehicles will be introduced and discussed.
Track-based robots are reported in Table 5.
Solutions that adopt a reconfigurable track-based are: [65] (not shown in Table 5), [66] (not shown in Table 5) and [57,61,67] (not shown in Table 5) and [60,62,63] feature front and rear moving flippers. Amoeba Go-1 [22] does not use a traditional track, while it is equipped with a pair of soft crawlers in place of a classic track with grousers. Finally, Polibot [64] refers to an example of suspended tracked robot where the ground wheels can move with respect to the chassis using independent swing arms, showing remarkable mobility over challenging environments that include staircases. A wheel cluster-based robot is reported in Table 6.
It has four wheel-cluster units to perform the stair climbing task [68]. To hold the payload horizontally, a simple mechanism is used to raise and lower the platform. Hybrid and leg-based robots are reported in Table 7.
Wen [69] has driven legs which move vertically, and four wheels attached to the body frames. Moreover, [72] (not shown in Table 7) uses driven legs as Wen [69] but a different system to appreciate stairs corners. Peopler-II [70,71] has perpendicularly oriented planetary legged wheels that are used to climb and descend stairs. Finally, Yeping [73] (not shown in Table 7) is a four-legged stair-climbing robot. Each leg has 4-DoF and support a roller at their own end. An articulated mechanism-based robot is reported in [74]. It uses deployable rigid supports to lift the device and a secondary mechanism for placing the wheels on the new support surface. The front wheels can change shape to paws.

3.3. No Payload Robots

This type of robot has been designed without foreseeing any payload capacity. They usually employ less complicated systems to perform the ascent and descent of the flight of stairs. Referring to Figure 2, no payload robots can be categorized based on the specific climbing mechanism. It should be noted that the hybrid and leg-based platforms can be further divided into three subcategories: biped, quadruped and hexapod.
Track-based robots are reported in Table 8.
All solutions use reconfigurable track-system to negotiate stairs. The Robhaz-dt3 [75] track is divided into two parts that can rotate one with respect to the other. Reference [76] changes internal linkages positions to modify the track shape. Finally, [77,78,79] have front and rear moving flippers to perform the stair climbing task. Wheel-cluster-based robots are reported in Table 9.
Most of the solutions [80,81,82,86] use rotating wheels to perform stair climbing. The Tri-Wheel [80,81] has two locomotion units at the front of the robot, Asguard [82,83] and Looper [86] four. Krys [84,85] possess special wheels for movement on stairs: its rotary segments are capable of smooth driving on stairs without oscillation of the chassis center of mass. Articulated mechanism-based robots are reported in Table 10.
They present very different systems to perform the stair-climbing task. Mabuchi [93] (not shown in Table 10) has arms to hook onto the tread of stairs. TuskBot [87] has rear assistive track mechanisms to accommodate stairs and front a protruded structure to climb the stair. Rocker-Bogie [88] and Rocker-Pillar [89] derive their structures from strong mobility in an unexpected terrain vehicle. Octopus [90] has many parallel suspension architectures that lead to a very smooth slope of the center of gravity when overcoming vertical slopes. Finally, WheTLHLoc [91] and Mantis [92] are characterized by a main body equipped with actuated wheels and two protruded structures to allow for climbing stairs. The biped types of hybrid and leg-based robots are reported in Table 11.
WL-12RIII [94] and RoboSapien [95] are inspired by humanoid locomotion. Cassie [96,97] is the most recent robot of the three listed. Its mechanical structure resembles more the hindlimbs of a gazelle. In all the solutions presented, it is of fundamental importance the use of a control for standing and walking without tipping. Quadruped type of hybrid and leg-based robots are reported in Table 12.
In recent years these solutions have been increasingly developed with special attention to the walking gait control. With their structure, Cheetah 3 [101], Spot [102], ANYmal [103] and HyTRO-I [104] simulate the movements of a four-legged mammalian animal. Labib [105] (not shown in Table 12) uses a simpler solution and uses a reconfigurable Klann linkage mechanism to perform the stair climbing task. Finally, Quattroped [98] has a “transformation mechanism” to modify wheels as legs. Specifically, each leg has 2-DoF and can rotate and move linearly with respect to the hip, which is defined as the connecting point from the body to the leg/wheel and is fixed on the body. A hexapod type of hybrid and leg-based robot is reported in Table 13. Rhex [106] is inspired by cockroach locomotion to traverse highly fractured and unstable terrain, as well as to ascend and descend a particular flight of stairs. It has 6 rotational DoFs, one for each leg.
The only wheeled-based robot is reported in Table 14. Two large wheels are used to perform the stair-climbing task. They are suspended respect to the robot’s frame by two parallel elastic jumping mechanisms. Ascento Pro can overcome full flights of stairs, drive at up to 12 km/h and all this for up to 8 h per battery charge.

4. Analysis and Comparison

In this section, various performance metrics are presented that consider allowable payload, maximum climbing speed, maximum crossable slope, transport ability and their combinations. By referring to these metrics, it is possible to compare vehicles with different locomotion modes and properties, highlighting the advantages and disadvantages of each.

4.1. Performance Metrics

Various metrics, suggested by Binnard [108], are introduced to quantitatively evaluate the performance of a given stair-climbing vehicle. Special attention has been given to the normalization of the metrics allowing heterogeneous platforms to be fairly compared. Metrics were estimated based on the specifications stated in related scientific papers or technical sheets. Where data are not available, corresponding metrics are not calculated.
The first performance metric is the payload capacity, PC, defined as the percentage ratio of the maximum payload mass to the robot mass:
P C = p a y l o a d   m a s s r o b o t   n e t   m a s s × 100
As a second metric, the normalized speed, NS, can be defined as the ratio of the robot maximum climbing speed to the robot body length.
N S = M a x i m u n   S p e e d B o d y   l e n g t h
As an overall performance metric, the Normalized Work Capability, NWC, can be considered. It is suggested by Binnard [108] and it is defined as the product of the Normalized Speed (NS) and Payload Capacity (PC).
NWC = PC × NS
Figure 4 shows a bar chart where the Normalized Work Capability is estimated for the wheelchair type vehicles presented in Section 3.1 and Section 3.2. Details can be found in the Appendix A Table A1, Table A2 and Table A3 where the numeric value of PC, NS and NWC are provided for each platform. Red refers to track-based, blue to wheel cluster-based, green to hybrid and leg-based and yellow to articulated mechanism-based robots.
It can be said that NWC quantifies the robot general performance, as it considers both the ability to carry payload and the climbing speed. As seen from the bar charts, the NWC metric well defines the different robot categories: track-based, wheel cluster-based, hybrid and leg-based and articulated mechanism-based. In fact, each category has a characteristic range of NWC. Articulated mechanism-based robots are mainly concentrated in the range of values that varies between 0 and 3 [s−1]. Even legged robots have low NWC values, ranging between 0 and 5 [s−1]. Wheel cluster-based robots have high NWC values and are mostly concentrated in the range between 5 and 15 [s−1]. Finally, the track-based stair-climbing robots are distributed evenly over the entire range of NWC values, where the most recent robots have NWC values ranging from 6 to 18 [s−1].
The NWC of carrier type robots is presented in Figure 5.
Normalized Work Capability is not the only metric to measure the performance of payload stair-climbing robots. To evaluate the versatility of use of one robot compared to another, the maximum crossable step height and stair slope are also used as performance metrics. Maximum crossable step height and stair slope are reported in Appendix A Table A4 for each existing vehicle. A graphical representation of the maximum crossable height and slope is given below. Figure 6 refers to wheelchair-type robots while Figure 7 refers to carrier-type robots. Based on these two metrics, different categories do not cluster clearly. Each single robot may be designed in such a way to match desired values of maximum step height and slope regardless of the category it belongs.
Here, the Transport Ability (TA) is introduced to quantify how effective the robot is at carrying payload during stair-climbing operation. We defined it as the ratio of the payload mass to the maximum robot power.
Transport Ability   ( TA )   [ kg / W ] = P a y l o a d   m a s s R o b o t   p o w e r
The value of TA represents how many kilograms of payload the robot can transport using a unit quantity of power, and so how effective the robot is during transport operation. Again, the values calculated for different robots are reported in Appendix A Table A5. When data are not provided, the metrics are not reported. A comparison bar chart of Transport Ability values is provided in Figure 8 for wheelchair-type robots and in Figure 9 for carrier-type robots. Red is used to indicate track-based robots, blue to wheel cluster-based, green to hybrid and leg-based and yellow to articulated mechanism-based robots. The most transport-effective categories appear to be track-based and wheel cluster-based because they reach higher value of TA. In fact, they combine a good carrying capacity with a small number of actuators. In contrast, the articulated mechanism-based robots and hybrid and leg-based categories, using many actuators to move the system, exhibit lower transport effectiveness because they reach lower values of TA.

4.2. Comparison Charts

To have a graphical representation of the various performance metrics and their correlation, several scatter plots are provided. Track-based robots are reported with red points, wheel cluster-based robots are reported in blue, hybrid and leg-based robots are reported in green, and articulated mechanism-based robot with yellow points. Figure 10 relates the two independent metrics: the Payload Capacity and the Normalized Speed. It can be observed that most of the points fall below an imaginary diagonal that from the top left to the bottom right cuts the graph into two parts. This highlights the intuitive inverse proportionality that exists between the payload and the transport speed. The lower the payload, the higher the speed of the robot. On the contrary, when the payload to be transported is very heavy, the speed of the robot decreases considerably. Articulated mechanism-based robots deviate from this behavior. Indeed, the normalized speed is almost independent on the payload capacity of each robot, as a result of a technical limitation of the gate-based walking strategy typical for this category.
It is important to observe the distribution of the various types of robots in the graph of Figure 10. For the two-dimensional data ([NS, PC]) pertaining to a given category, a standard deviational ellipse can be defined centered on the mean center and considering one standard deviation. These ellipses were created using the Gaussian Ellipsoids function of the MatLab® software (MathWorks, Natick, MA, USA). It can be seen how the ellipse of the articulated mechanism-based robots (marked in yellow) lies in an area at the bottom of the graph. These vehicles cannot carry a load greater than the robot’s own weight and never exceed a Normalized Speed of 0.02 s−1. Hybrid and leg-based robots (green ellipse), despite being able to carry a wide range of payloads, never exceed an NS value greater than 0.1 s−1. Wheel cluster-based vehicles are always able to carry a payload comparable to the weight of the robot and at a speed higher than both that of articulated mechanism-based robots and that of hybrid and leg-based robots. Finally, the track-based robots are distributed in the central area of the graph. It is thus evident that they can carry a payload comparable to the weight of the robots. In addition, the arrangement of the ellipse on the graph shows that track-based robots on average have a higher transport speed than the other categories.
In Figure 11, the NWC is shown as a function of the PC for the four types of vehicles. The distribution in this plane is significant. Again, to better highlight the arrangement of the different categories within the chart, it is also possible to add the already mentioned Gaussian ellipses to the graph. These ellipses are based on the statistical values of the PC and NWC parameters. Recall that the NWC is an index of the total performance of the vehicle, as it considers the load transported and the speed of transport [104]. Once a PC value is calculated, it is possible to identify which category of robot has better performance based on the position of the ellipses in the chart plan. Track-based and wheel cluster-based robots are more suitable for carrying a load on stairs because their ellipses reach higher values of NWC than the articulated mechanism-based and hybrid and leg-based robots.
We define the stairs slope as the inclination respect the horizontal of the notional line connecting the nosings of all treads in a flight. Compared to the step height, the slope considers not only the height of the step, but also the depth of the same. For this reason, when comparing the performance of different robots, it is preferable to use the maximum slope of the stairs. Then, Figure 12 illustrates the maximum stairs slope to payload capacity scatter plot. It can be seen which slope of stairs can overcome the different categories of robots. It emerges that most categories of robots are able to overcome values of stairs slope included in the range 25–45°. These are the typical slope values of stairs for most real applications.
In Figure 13 the maximum stairs slope values for the different robots are diagrammed as a function of Normalized Work Capability instead of Payload Capacity. The maximum slope range of stairs is always between 25° and 45°. The graph shows that the two categories that have the highest total performance are track-based and wheel cluster-based, as they have higher Normalized Work Capability values in that range, so that they are most suitable to perform the stair-climbing task respect to articulated mechanism-based and hybrid and leg-based robots.
Figure 14 shows the Transport Ability versus Payload Capacity scatter plot. Again, to better highlight the arrangement of the different categories within the chart, it is also possible to add the already mentioned Gaussian ellipses to the graph. These ellipses are based on the statistical values of the TA and PC parameters. Hybrid and leg-based robot ellipse is almost horizontal, sign that the Transport Ability varies little as the load carried varies. Moreover, hybrid and leg-based category has the lowest transport ability for all payload capacity values. On the contrary, wheel cluster-based robot ellipse is almost vertical, sign that the Transport Ability varies greatly depending on the climbing mechanism used. The most high transport ability value belongs to track-based robots category.
At the end, Figure 15 relates the two independent metrics: the Transport Ability and the Normalized Work Capability. As we have already said, the NWC is an index that reflects a bit the overall performance of the robot, since it considers both the load capacity and the transport speed of the robot. Similarly, TA is an index that considers how much power the robot needs to carry a unit load. Based on these two parameters, the Transport Ability-Normalized Work Capability graph can be divided into four zones: (1) in the top right the area of the robots with high overall performance and high transport ability, (2) in the bottom right the area of the robots with high overall performance but with low transport ability, (3) in the top left the area of the robots with high transport ability but with low overall performance, (4) in the bottom left the area of the robots with low transport ability and low overall performance. Moreover, in this case, to highlight the arrangement of the points of the different categories, the ellipses have been added.
So, from the position of the ellipses in the TA-NWC plan in the figure, it is possible to have important indications on the different categories of robots that cannot be deduced a priori through a single qualitative analysis of the systems. Articulated mechanism-based robots are shown to have variable transport ability depending on the climbing mechanism used. However, they demonstrate low overall performance by positioning themselves in the leftmost area of the graph plane in Figure 15. Wheel cluster-based and track-based robots are the categories that come closest to the area of the plan with high overall performance and high transport ability, proving to be the most suitable categories for transporting a payload on a flight of stairs. In contrast, the hybrid and leg-based robots category clusters in an area with low transport ability and low overall performance.

4.3. Complexity and Cost Issues

Drawing from [109], fundamental design choice criteria in mobile robotics are mechanical and control complexity, as also underlined in [5].
Mechanical complexity has a considerable influence on the reliability of robot operation. Track-based and wheel cluster-based robots are apparently simple and robust, while robots with complicated mechanical designs, such as legged and articulated mechanism-based robots are complex and delicate. Control complexity has significant influence on the robot motion control. It is higher for solutions involving legs and a sophisticated mechanism due to gait planning requirements.
Mechanical and control complexity can be used to evaluate the simplicity of realization of one robot compared to another. Therefore, in addition to the performance metrics of Section 4.1, it is decided to develop a qualitative evaluation scale of mechanical complexity (MC) and control complexity (CC) for the robots analyzed in this paper. Detailed numeric data are presented in Appendix A Table A6. Scores start from low and continue with medium-low, medium, medium-high, high and very-high.
Another fundamental design parameter is the overall cost. From mechanical and control complexity, it is possible to obtain an idea of the possible cost of the robot. It is plausible that an expensive solution has very high complexity. Therefore, cost is used to evaluate the simplicity of realization of one robot compared to another, and how much a robot can be easily sold compared to another one.
It is also decided to draw up a qualitative evaluation scale of cost for the robots in this paper. Cost evaluation scores are presented in Appendix A Table A7. Scores start from low and continue with low-medium, medium, medium-high and high. To have a graphical representation of the results obtained, a cost scale graph is provided below in Figure 16. The five cost grades and the total number of robots belonging to each grade are reported on the abscissa and ordinate axis, respectively.
It is useful to say that the wheelchair type track-based robots Scewo Bro [25] and B-Free Ranger [30] are now available for $40,536 and $17,688, respectively. Wheel cluster-based robot iBOT 4000 Mobility System [35] was available for $26,000 in the period from 1999 to 2016.
Figure 16 provides information on how robots type affects the cost. Due to the elaborate mechanical structure, the presence of numerous actuators and sensors and the complexity of the control system, the most expensive robots are the legged ones, immediately followed by the articulated mechanism-based ones. Track-based robots have an average system cost, while wheel-clustered robots are the cheapest type to make.

5. Discussion

This paper surveyed the current state-of-the-art in stair-climbing vehicles to obtain useful information about which category of robot is best able to transport people and heavy loads up a flight of stairs. In the first part of the article, a brief description of the stair-climbing existing mechanisms and method of operation are provided. Then, based on the capability of carrying payload and the type of locomotion mechanism, we propose a general stair-climbing system categorization. Next, to compare the different payload robots, several quantitative performance metrics are defined and calculated on the purpose, namely: payload capacity, normalized speed, normalized work capability, maximum step height, maximum stairs slope and transport ability. Correlations among previous performance metrics are sought by plotting one metric against the other, providing the reader with an in-depth understanding of the stair climbing problem. Then, complexity and cost issues are addressed. As a conclusion of the work, we tried to identify what to look at to choose the best category for transporting people and heavy loads up a flight of stairs. The normalized work capacity parameter is chosen to quantify the overall performance of different climbing robots and the respective categories. A complete overview of the different stair-climbing system performance is obtained when expressing Transport Ability as a function of Normalized Work Capability. Since hybrid and leg-based robots are located in the lower left area of the TA-NWC plan (Figure 15) and have a high cost, they prove to be the least suitable category for transporting a payload on a flight of stairs. Moreover, articulated mechanism-based robots do not seem suitable for stair-climbing operations. This is because they have low overall performance, low transport ability, complicated mechanical structure and control strategy. On the contrary, track-based and wheel cluster-based robots prove to be the most suitable categories to perform the transport of a load during the ascent of a flight of stairs. This is because they combine good overall performance and good transport ability, positioning in the right part of the TA-NWC plan (Figure 16), with low mechanical complexity, simple control strategy and low construction cost. With these results it will be possible to design a track-based or wheel-cluster based robot that better than articulated mechanism-based robots and hybrid and leg-based robots can transport people and heavy loads up a flight of stairs. The posture control categorization, the control algorithm categorization, the gait planning categorization, the driving force distribution categorization and highlighting the advantages and disadvantages of them are work understudied issues and future development. They have not been dealt with so as not to make the paper too heavy to read.

Author Contributions

Conceptualization, A.P., F.B., G.M. and G.R.; methodology, A.P.; writing—original draft preparation, A.P. and G.R.; writing—review and editing, G.R. and F.B.; funding acquisition, G.R. All authors have read and agreed to the published version of the manuscript.

Funding

The financial support of the project giving Smell sense To Agricultural Robotics (STAR), ERA-NET COFUND ICT AGRI-FOOD (Grant No. 45207), is gratefully acknowledged. This work was also partly supported by the Italian Ministry of University and Research under the Programme “Department of Excellence” Legge 232/2016 (Grant No. CUP-D93C23000100001).

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Data supporting the findings of this study are available from the corresponding author on request.

Conflicts of Interest

The authors declare no conflict of interest.

Appendix A

In this appendix, performance metrics introduces in Section 4.1 are calculated for the robots analyzed in this document. WT and CT indicate wheelchair type and carrier type robots, respectively. When technical data are not provided, metrics are omitted. Table A1 and Table A2 show the Payload Capacity and Normalized speed, respectively. Normalized Work Capability is calculated in Table A3. Maximum crossable step height and stairs slope are reported in Appendix A Table A4. Then, Transport Ability values are calculated in Table A5.
Table A1. Robot’s Payload Capacity.
Table A1. Robot’s Payload Capacity.
NameTypeCategoryPC [%]Payload/Robot
Scewo Bro Errore. [25]WTTrack74.07%120 kg/162 kg
WT Wheelchair [27,28]WTTrack57.69%75 kg/130 kg
TopChair-S [26]WTTrack73.33%110 kg/150 kg
Tao [29]WTTrack150%75 kg/50 kg
B-Free Ranger [30]WTTrack82.19%120 kg/146 kg
Caterwil GTS5 Lux [33]WTTrack87.71%100 kg/114 kg
All-Terrain Wheelchair [34]WTTrack50%80 kg/160 kg
iBOT 4000 [35,36]WTWheel cluster123.63%136 kg/110 kg
Wheelchair.q [37,38]WTWheel cluster88.77%87 kg/98 kg
Zero Carrier [41,42]WTHybrid and Leg173.91%80 kg/46 kg
Lee [47]WTHybrid and Leg85.71%60 kg/70 kg
WL-16 II [45,46]WTHybrid and Leg96.77%60 kg/62 kg
RT-Mover PType WA [48,49,50]WTArticulated Mechanism76.08%70 kg/92 kg
Morales [51]WTArticulated Mechanism90%90 kg/100 kg
Lawn [52]WTArticulated Mechanism50%80 kg/160 kg
TBW-I [53]WTArticulated Mechanism38.96%60 kg/154 kg
HELIOS-V [54]WTArticulated Mechanism100%50 kg/50 kg
Chen [55]WTArticulated Mechanism100%80 kg/80 kg
Yoneda [59]CTTrack92.30%60 kg/65 kg
TAQT Carrier [60]CTTrack25.80%80 kg/310 kg
HELIOS-VI [61]CTTrack141.17%120 kg/85 kg
Haulerbot [62]CTTrack89.04%130 kg/146 kg
iRobt 710 Kobra [63]CTTrack40.96%68 kg/166 kg
Deshmukh [68]CTWheel cluster125%10 kg/8 kg
Table A2. Robot’s Normalized Speed.
Table A2. Robot’s Normalized Speed.
NameTypeCategoryNS [s−1]Speed/Length
Scewo Bro [25]WTTrack0.18 s−121 cm/s/113.5 cm
WT Wheelchair [27,28]WTTrack0.07 s−110 cm/s/131 cm
TopChair-S [26]WTTrack0.16 s−119 cm/s/115 cm
Tao [29]WTTrack0.08 s−17.3 cm/s/90 cm
B-Free Ranger [30]WTTrack0.074 s−18.3 cm/s/112 cm
Caterwil GTS5 Lux [33]WTTrack0.21 s−122 cm/s/102 cm
All-Terrain Wheelchair [34]WTTrack0.19 s−130 cm/156 cm
iBOT 4000 [35,36]WTWheel cluster0.12 s−110 cm/s/81.3 cm
Wheelchair.q [37,38]WTWheel cluster0.14 s−110 cm/s/70.9 cm
Zero Carrier [41,42]WTHybrid and Leg0.01 s−11 cm/s/60 cm
Lee [47]WTHybrid and Leg0.02 s−12 cm/s/85.5 cm
WL-16 II [45,46]WTHybrid and Leg0.07 s−15 cm/s/70 cm
RT-Mover PType WA [48,49,50]WTArticulated Mechanism0.02 s−12.2 cm/s/110 cm
Morales [51]WTArticulated Mechanism0.007 s−11 cm/s/145 cm
Lawn [52]WTArticulated Mechanism0.006 s−11 cm/s/170 cm
TBW-I [53]WTArticulated Mechanism0.005 s−10.5 cm/s/108 cm
Chen [55]WTArticulated Mechanism0.02 s−12 cm/s/82 cm
Yoneda [59]CTTrack0.09 s−110.2 cm/s/118 cm
TAQT Carrier [60]CTTrack0.10 s−114 cm/s/130 cm
HELIOS-VI [61]CTTrack0.06 s−17 cm/s/105.5 cm
Haulerbot [62]CTTrack0.072 s−18.3 cm/s/115 cm
iRobt 710 Kobra [63]CTTrack0.15 s−114 cm/s/91.4 cm
Deshmukh [68]CTWheel cluster0.08 s−16.28 cm/s/78 cm
Table A3. Robot’s Normalized Work Capability.
Table A3. Robot’s Normalized Work Capability.
NameTypeCategoryNWC[s−1]
Scewo Bro [25]WTTrack13.33 s−1
WT Wheelchair [27,28]WTTrack4.40 s−1
TopChair-S [26]WTTrack11.73 s−1
Tao [29]WTTrack12.14 s−1
B-Free Ranger [30]WTTrack6.08 s−1
Caterwil GTS5 Lux [33]WTTrack18.85 s−1
All-Terrain Wheelchair [34]WTTrack9.61 s−1
iBOT 4000 [35,36]WTWheel cluster14.83 s−1
Wheelchair.q [37,38]WTWheel cluster12.43 s−1
Zero Carrier [41,42]WTHybrid and Leg1.74 s−1
Lee [47]WTHybrid and Leg1.71 s−1
WL-16 II [45,46]WTHybrid and Leg6.77 s−1
RT-Mover PType WA [48,49,50]WTArticulated Mechanism1.52 s−1
Morales [51]WTArticulated Mechanism0.62 s−1
Lawn [52]WTArticulated Mechanism0.3 s−1
TBW-I [53]WTArticulated Mechanism0.195 s−1
Chen [55]WTArticulated Mechanism2 s−1
Yoneda [59]CTTrack8.30 s−1
TAQT Carrier [60]CTTrack2.58 s−1
HELIOS-VI [61]CTTrack8.47 s−1
Haulerbot [62]CTTrack6.41 s−1
iRobt 710 Kobra [63]CTTrack6.27 s−1
Deshmukh [68]CTWheel cluster10.06 s−1
Table A4. Crossable step height and stairs slope.
Table A4. Crossable step height and stairs slope.
NameTypeCategoryStep Height [cm]Stairs Slope [°]
Scewo Bro [25]WTTrack20 cm36°
WT Wheelchair [27,28]WTTrack15 cm25°
TopChair-S [26]WTTrack20 cm35°
Tao [29]WTTrack18 cm35°
B-Free Ranger [30]WTTrack20 cm35°
Caterwil GTS5 Lux [33]WTTrack20 cm40°
All-Terrain Wheelchair [34]WTTrack17 cm31°
iBOT 4000 [35,36]WTWheel cluster20 cm39°
Wheelchair.q [37,38]WTWheel cluster24 cm40°
Castillo [39]WTWheel cluster18 cm37°
Zero Carrier [41,42]WTHybrid and Leg18 cm27°
Lee [47]WTHybrid and Leg25.5 cm45°
WL-16 II [45,46]WTHybrid and Leg15 cm27°
RT-Mover PType WA [48,49,50]WTArticulated Mechanism17 cm35°
Morales [51]WTArticulated Mechanism24 cm40°
Lawn [52]WTArticulated Mechanism20 cm35°
TBW-I [53]WTArticulated Mechanism20 cm20°
HELIOS-V [54]WTArticulated Mechanism16 cm28°
Chen [55]WTArticulated Mechanism20 cm37.5°
Yoneda [59]CTTrack16 cm30°
Haulerbot [62]CTTrack20 cm38°
iRobt 710 Kobra [63]CTTrack21.2 cm45°
Deshmukh [68]CTWheel cluster16 cm40°
Wen [69]CTHybrid and Leg20 cm35.5°
Table A5. Transport Ability values.
Table A5. Transport Ability values.
NameTypeCategoryTA [kg/W]Power [W]Payload [kg]
TopChair-S [25]WTTrack0.137800 W110 kg
Tao [29]WTTrack0.0751000 W75 kg
B-Free Ranger [30]WTTrack0.081500 W120 kg
All-Terrain Wheelchair [34] WTTrack0.087920 W80 kg
iBOT 4000 [35,36]WTWheel cluster0.0751800 W136 kg
Wheelchair.q [37,38]WTWheel cluster0.174500 W87 kg
Castillo [39]WTWheel cluster0.0411430 W60 kg
Zero Carrier [41,42]WTHybrid and Leg0.0741080 W80 kg
Lee [47]WTHybrid and Leg0.061200 W60 kg
WL-16 II [45,46]WTHybrid and Leg0.0331800 W60 kg
RT-Mover PType WA [48,49,50]WTArticulated Mechanism0.0411700 W70 kg
Morales [51]WTArticulated Mechanism0.119840 W100 kg
TBW-I [53]WTArticulated Mechanism0.066900 W60 kg
HELIOS-V [54]WTArticulated Mechanism0.062800 W50 kg
Chen [55]WTArticulated Mechanism0.0253200 W80 kg
TAQT Carrier [60]CTTrack0.0441800 W80 kg
HELIOS-VI [61]CTTrack0.193622 W120 kg
Haulerbot [62]CTTrack0.0861500 W130 kg
Deshmukh [68]CTWheel cluster0.069144 W10 kg
Qualitative evaluation scale of mechanical complexity (MC) and control complexity (CC) are presented in Table A6. Grades start from low and continue with medium-low, medium, medium-high and high. Finally, cost evaluation grades are presented in Table A7. Grades start from low and continue with medium-low, medium, medium-high and high.
Table A6. Mechanical and Control Complexity values.
Table A6. Mechanical and Control Complexity values.
NameTypeCategoryMCCC
Scewo Bro [25]WTTrackMedium-lowMedium-low
WT Wheelchair [27,28]WTTrackMedium-highMedium-high
TopChair-S [26]WTTrackMedium-lowMedium-low
Tao [29]WTTrackMedium-lowMedium-low
B-Free Ranger [30]WTTrackMedium-highMedium-high
ZED Evolution [31]WTTrackMedium-highMedium-high
Caterwil GTS5 Lux [32]WTTrackMedium-lowMedium-high
Fortissimo [33]WTTrackMedium-lowMedium-high
Hkust [33]WTTrackLowMedium-low
All-Terrain Wheelchair [34]WTTrackMedium-highMedium-high
iBOT 4000 [35,36]WTWheel clusterMedium-lowMedium-high
Wheelchair.q [37,38]WTWheel clusterMedium-lowMedium-high
Castillo [39]WTWheel clusterLowLow
Wang [40]WTHybrid and LegMedium-lowMedium-high
Zero Carrier [41,42]WTHybrid and LegMedium-highHigh
Lee [47]WTHybrid and LegHighHigh
JWCR-1 [43,44]WTHybrid and LegVery-highVery -high
WL-16 II [45,46]WTHybrid and LegVery -highVery -high
RT-Mover PType WA [48,49,50]WTArticulated MechanismHighHigh
Morales [51]WTArticulated MechanismHighHigh
Lawn [52]WTArticulated MechanismHighHigh
TBW-I [53]WTArticulated MechanismHighHigh
HELIOS-V [54]WTArticulated MechanismMedium-highMedium-high
Chen [55]WTArticulated MechanismHighHigh
RPWheel [56]WTArticulated MechanismMedium-highMedium-high
Zhang [57,58]CTTrackMedium-lowMedium-high
Dongsheng [67]CTTrackMedium-lowMedium-high
Htoo [65]CTTrackLowLow
Amoeba Go-1 [22]CTTrackMedium-lowMedium-high
Yoneda [59]CTTrackLowLow
Riuqin [66]CTTrackLowLow
TAQT Carrier [60]CTTrackMedium-lowMedium-high
HELIOS-VI [61]CTTrackMedium-lowMedium-low
Haulerbot [62]CTTrackMedium-highMedium-high
iRobt 710 Kobra [63]CTTrackMedium-lowMedium-high
Deshmukh [68]CTWheel clusterLowLow
Wen [69]CTHybrid and LegMedium-highHigh
Shihua [72]CTHybrid and LegMedium-lowMedium-high
PEOPLER-II [70,71]CTHybrid and LegHighMost-high
Yeping [73]CTHybrid and LegVery-highVery-high
Yinhui [74]CTArticulated MechanismMedium-highMedium-high
Table A7. Mechanical Complexity, Control Complexity and Cost Scale values.
Table A7. Mechanical Complexity, Control Complexity and Cost Scale values.
NameTypeCategoryCost
Scewo Bro [25]WTTrackMedium
WT Wheelchair [27,28]WTTrackMedium
TopChair-S [26]WTTrackMedium-low
Tao [29]WTTrackMedium-low
B-Free Ranger [30]WTTrackMedium
ZED Evolution [31]WTTrackMedium
Caterwil GTS5 Lux [32]WTTrackMedium-low
Fortissimo [33]WTTrackMedium
Hkust [33]WTTrackMedium-low
All-Terrain Wheelchair [34]WTTrackMedium
iBOT 4000 [35,36]WTWheel clusterMedium-low
Wheelchair.q [37,38]WTWheel clusterMedium-low
Castillo [39]WTWheel clusterMedium-low
Wang [40]WTHybrid and LegMedium
Zero Carrier [41,42]WTHybrid and LegHigh
Lee [47]WTHybrid and LegMedium-high
JWCR-1 [43,44]WTHybrid and LegHigh
WL-16 II [45,46]WTHybrid and LegHigh
RT-Mover PType WA [48,49,50]WTArticulated MechanismMedium-high
Morales [51]WTArticulated MechanismMedium-high
Lawn [52]WTArticulated MechanismMedium-high
TBW-I [53]WTArticulated MechanismMedium-high
HELIOS-V [54]WTArticulated MechanismMedium
Chen [55]WTArticulated MechanismMedium-high
RPWheel [56]WTArticulated MechanismMedium
Zhang [57,58]CTTrackMedium
Dongsheng [67]CTTrackMedium
Htoo [65]CTTrackMedium-low
Amoeba Go-1 [22]CTTrackMedium
Yoneda [59]CTTrackMedium-low
Riuqin [66]CTTrackMedium-low
TAQT Carrier [60]CTTrackMedium
HELIOS-VI [61]CTTrackMedium-low
Haulerbot [62]CTTrackMedium
iRobt 710 Kobra [63]CTTrackMedium
Deshmukh [68]CTWheel clusterLow
Wen [69]CTHybrid and LegMedium-high
Shihua [72]CTHybrid and LegMedium-low
PEOPLER-II [70,71]CTHybrid and LegHigh
Yeping [73]CTHybrid and LegHigh
Yinhui [74]CTArticulated MechanismMedium

References

  1. Green, J.; Clounie, J.; Galarza, R.; Anderson, S.; Campell-Smith, J.; Voicu, R.C. Optimization of an Intelligent Wheelchair: LiDAR and Camera Vision for Obstacle Avoidance. In Proceedings of the 22nd International Conference on Control, Automation and Systems, Busan, Republic of Korea, 27–30 November 2022; pp. 313–318. [Google Scholar]
  2. Kaye, H.S.; Kang, T.; LaPlante, M. Mobility Device Use in the United States; Disability Statistics Report 14; U.S. Department of Education, National Institute on Disability and Rehabilitation Research: Washington, DC, USA, 2000; Volume 14.
  3. National Center for Health Statistics. Percentage of any difficulty walking or climbing steps for adults aged 18 and over, United States, 2019–2020. In National Health Interview Survey; NCHS: Hyattsville, MD, USA, 2022. [Google Scholar]
  4. Di Priamo, C. L’inclusione Scolastica: Accessibilità, Qualità Dell’offerta e Caratteristiche Degli Alunni con Sostegno; Report Istituto Nazionale di Statistica Istat (Italian); ISTAT: Rome, Italy, 2020. [Google Scholar]
  5. Bruzzone, L.; Quaglia, G. Locomotion systems for ground mobile robots in unstructured environments. Mech. Sci. 2012, 2, 49–62. [Google Scholar] [CrossRef]
  6. Reina, G.; Foglia, M. On the mobility of all-terrain rovers. Ind. Robot. 2013, 40, 121–131. [Google Scholar] [CrossRef]
  7. Alamdari, A.; Krovi, V.N. Design of articulated leg–wheel subsystem by kinetostatic optimization. Mech. Mach. Theory 2016, 100, 222–234. [Google Scholar] [CrossRef]
  8. Gong, Z.; Xie, F.; Liu, X.; Shentu, S. Obstacle-crossing strategy and formation parameters optimization of a multi-tracked-mobile-robot system with a parallel manipulator. Mech. Mach. Theory 2020, 152, 103919. [Google Scholar] [CrossRef]
  9. Li, H.; Qi, C.; Mao, L.; Zhao, Y.; Chen, X.; Gao, F. Staircase-climbing capability-based dimension design of a hexapod robot. Mech. Mach. Theory 2021, 164, 104400. [Google Scholar] [CrossRef]
  10. Li, H.; Qi, C.; Gao, F.; Chen, X.; Zhao, Y.; Chen, Z. Mechanism design and workspace analysis of a hexapod robot. Mech. Mach. Theory 2022, 174, 104917. [Google Scholar] [CrossRef]
  11. Jiang, H.; Xu, G.; Zeng, W.; Gao, F. Design and kinematic modeling of a passively-actively transformable mobile robot. Mech. Mach. Theory 2019, 142, 103591. [Google Scholar] [CrossRef]
  12. Wei, C.; Wu, J.; Sun, J.; Sun, H.; Yao, Y.; Ruan, Q. Reconfigurable design of a passive locomotion closed-chain multi-legged platform for terrain adaptability. Mech. Mach. Theory 2022, 174, 104936. [Google Scholar] [CrossRef]
  13. Ni, L.; Wu, L.; Zhang, H. Parameters uncertainty analysis of posture control of a four-wheel-legged robot with series slow active suspension system. Mech. Mach. Theory 2022, 175, 104966. [Google Scholar] [CrossRef]
  14. Zhang, F.; Yu, Y.; Wang, Q.; Zeng, X.; Niu, H. A terrain-adaptive robot prototype designed for bumpy-surface exploration. Mech. Mach. Theory 2019, 141, 213–225. [Google Scholar] [CrossRef]
  15. Robert, B. Climbing robots: Recent research and emerging applications. Ind. Robot. 2019, 46, 721–727. [Google Scholar]
  16. Shin, J.; Son, D.; Kim, Y.; Seo, T. Design exploration and comparative analysis of tail shape of tri-wheel-based stair-climbing robotic platform. Sci. Rep. 2022, 12, 19488. [Google Scholar] [CrossRef] [PubMed]
  17. Sundaram, S.A.; Wang, H.; Ding, D.; Cooper, R.A. Step-Climbing Power Wheelchairs: A Literature Review. Top. Spinal Cord Inj. Rehabil. 2017, 23, 98–109. [Google Scholar] [CrossRef]
  18. Grigore, L.S.; Oncioiu, I.; Priescu, I.; Joi, D. Development and Evaluation of the Traction Characteristics of a Crawler EOD Robot. Appl. Sci. 2021, 11, 3757. [Google Scholar] [CrossRef]
  19. Bruzzone, L.; Nodehi, S.E.; Fanghella, P. Tracked Locomotion Systems for Ground Mobile Robots: A Review. Machines 2022, 10, 648. [Google Scholar] [CrossRef]
  20. Li, T.; Li, Q. A systematic review on load carriage assistive devices: Mechanism design and performance evaluation. Mech. Mach. Theory 2023, 180, 105142. [Google Scholar] [CrossRef]
  21. Chatterjee, P.; Lahiri, N.; Bhattacharjee, A.; Chakraborty, A. Automated Hybrid Stair Climber for Physically Challenged People. In Proceedings of the 5th International Conference on Electronics, Materials Engineering & Nano-Technology (IEMENTech), Kolkata, India, 24–26 September 2021; pp. 1–4. [Google Scholar]
  22. JST (Japan Science and Technology Agency). News, Stories that Change the World: AMOEBA ENERGY (Amoeba-Inspired Technologies to Change the Mobility); JST: Tokyo, Japan, 2020; Volume 3. [Google Scholar]
  23. Tao, W.; Xu, J.; Liu, T. Electric-powered wheelchair with stair-climbing ability. Int. J. Adv. Robot. Syst. 2017, 14, 1729881417721436. [Google Scholar] [CrossRef]
  24. Riener, R. The Cybathlon promotes the development of assistive technology for people with physical disabilities. J. Neuroeng. Rehabil. 2016, 13, 49. [Google Scholar] [CrossRef]
  25. Klöppel, M.; Römer, F.; Wittmann, M.; Hatam, B.; Herrmann, T.; Sim, L.L.; Lim, J.S.D.; Lu, Y.; Medovy, V.; Merkle, L.; et al. Scube—Concept and Implementation of a Self-balancing, Autonomous Mobility Device for Personal Transport. World Electr. Veh. 2018, 9, 48. [Google Scholar] [CrossRef]
  26. Lee, J.; Jeong, W.; Han, J.; Kim, T.; Oh, S. Barrier-Free Wheelchair with a Mechanical Transmission. Appl. Sci. 2021, 11, 5280. [Google Scholar] [CrossRef]
  27. Wang, J.; Wang, T.; Yao, C.; Li, X.; Wu, C. Active Tension Control for WT Wheelchair Robot by Using a Novel Control Law for Holonomic or Nonholonomic Systems. In Mathematical Problems in Engineering; Hindawi Publishing Corporation: London, UK, 2013. [Google Scholar]
  28. Yu, S.; Wang, T. Original design of a wheelchair robot equipped with variable geometry single tracked mechanisms. Int. J. Robot. Autom. 2015, 30, 87–97. [Google Scholar] [CrossRef]
  29. Tao, W.; Jia, Y.; Liu, T.; Yi, J.; Wang, H.; Inoue, Y. A novel wheel-track hybrid electric powered wheelchair for stairs climbing. J. Adv. Mech. Des. Syst. Manuf. 2016, 10, JAMDSM0060. [Google Scholar] [CrossRef]
  30. Nakajima, S.; Sawada, S. Methodology of climbing and descending stairs for four-wheeled vehicles. In Proceedings of the IEEE 23rd International Conference on Intelligent Transportation Systems, Rhodes, Greece, 20–23 September 2020; pp. 1–6. [Google Scholar]
  31. Meyer, J.T.; Weber, S.; Jäger, L. A survey on the influence of CYBATHLON on the development and acceptance of advanced assistive technologies. J. Neuroeng. Rehabil. 2022, 19, 38. [Google Scholar] [CrossRef] [PubMed]
  32. Popovic, M.B. Biomechatronics; Elsevier Science: Amsterdam, The Netherlands, 2019. [Google Scholar]
  33. Martínez, J.A.G.; Cardinale, F. Robotics in Neurosurgery: Principles and Practice, 1st ed.; Springer International Publishing: Berlin/Heidelberg, Germany, 2022. [Google Scholar]
  34. Podobnik, J.; Rejc, J.; Slajpah, S.; Munih, M.; Mihelj, M. All-Terrain Wheelchair: Increasing Personal Mobility with a Powered Wheel-Track Hybrid Wheelchair. IEEE Robot. Autom. Mag. 2017, 24, 26–36. [Google Scholar] [CrossRef]
  35. Uustal, H.; Minkel, J.L. Study of the independence IBOT 3000 mobility system: An innovative power mobility device, during use in community environments. Arch. Phys. Med. Rehabil. 2004, 85, 2002–2010. [Google Scholar] [CrossRef]
  36. Onozuka, Y.; Tomokuni, N.; Murata, G.; Shino, M. Dynamic Stability Control of Inverted-Pendulum-Type Robotic Wheelchair for Going Up and Down Stairs. In Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Las Vegas, NV, USA, 24 October 2020–24 January 2021; pp. 4114–4119. [Google Scholar]
  37. Quaglia, G.; Nisi, M. Design of a self-leveling cam mechanism for a stair climbing wheelchair. Mech. Mach. Theory 2017, 112, 84–104. [Google Scholar] [CrossRef]
  38. Quaglia, G.; Franco, W.; Oderio, R. Wheelchair. q, a motorized wheelchair with stair climbing ability. Mech. Mach. Theory 2011, 11, 1601–1609. [Google Scholar] [CrossRef]
  39. Castillo, B.D.; Kuo, Y.; Chou, J. Novel design of a wheelchair with stair climbing capabilities. In Proceedings of the International Conference on Intelligent Informatics and Biomedical Sciences, Okinawa, Japan, 28–30 November 2015; pp. 208–215. [Google Scholar]
  40. Wang, H.; He, L.; Qi, L. Research on a kind of leg-wheelstair-climbing wheelchair. In Proceedings of the IEEE International Conference on Mechatronics and Automation, Tianjin, China, 3–6 August 2014. [Google Scholar]
  41. Yuan, J.; Hirose, S. Research on leg-wheel hybrid stair-climbing robot, Zero Carrier. In Proceedings of the IEEE International Conference on Robotics and Biomimetics, Shenyang, China, 22–26 August 2004. [Google Scholar]
  42. Yuan, J.; Hirose, S. Zero Carrier: A Novel Eight Leg-Wheels Hybrid Stair Climbing Mobile Vehicle. J. Robot. Mechatron. 2005, 17, 44–51. [Google Scholar] [CrossRef]
  43. Cao, X.; Zhao, Q.; Ma, P. Humanoid Robot 3-D Motion Simulation for Hardware Realization. J. Donghua Univ. 2007, 24, 713–717. [Google Scholar]
  44. Tang, J.; Zhao, Q.; Huang, J. Application of “human-in-the-loop” control to a biped walking-chair robot. In Proceedings of the 2007 IEEE International Conference on Systems, Man and Cybernetics, Montreal, QC, Canada, 7–10 October 2007. [Google Scholar]
  45. Sugahara, Y. Towards the Biped Walking Wheelchair. In Proceedings of the First IEEE/RAS-EMBS International Conference on Biomedical Robotics and Biomechatronic, Pisa, Italy, 20–22 February 2006. [Google Scholar]
  46. Zheng, C.; Zhao, Q.; Ma, P.; Zhang, H.; Gou, Z. Mechanism design of a biped walking-chair robot. Jiqiren/Robot 2006, 28, 297–302. [Google Scholar]
  47. Lee, C.; Lee, K.; Yoo, J.; Kim, I.; Bang, Y. A compact stair-climbing wheelchair with two 3-DOF legs and a 1-DOF base. Ind. Robot 2016, 43, 181–192. [Google Scholar] [CrossRef]
  48. Nakajima, S. Stair-climbing gait for a four-wheeled vehicle. Robomech J. 2020, 7, 20. [Google Scholar] [CrossRef]
  49. Nakajima, S. Evaluation of the mobility performance of a personal mobility vehicle for steps. IEEE Access 2017, 5, 9748–9756. [Google Scholar] [CrossRef]
  50. Nakajima, S. RT-Mover: A rough terrain mobile robot with a simple leg–wheel hybrid mechanism. Int. J. Robot. Res. 2011, 13, 1609–1626. [Google Scholar] [CrossRef]
  51. Chocoteco, J.; Morales, R.; Feliu-Batlle, V. Enhancing the Trajectory Generation of a Stair-Climbing Mobility System. Sensors 2017, 17, 2608. [Google Scholar] [CrossRef]
  52. Lawn, J.M.; Ishimatsu, T. Modeling of a Stair-Climbing Wheelchair Mechanism with High Single-Step Capability. IEEE Trans. Neural Syst. Rehabil. Eng. 2003, 3, 323–332. [Google Scholar] [CrossRef] [PubMed]
  53. Sugahara, Y.; Yonezawa, N.; Kosuge, K. A novel stair-climbing wheelchair with transformable wheeled four-bar linkages. In Proceedings of the IEEE 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems, Taipei, Taiwan, 18–22 October 2010. [Google Scholar]
  54. Uchida, Y.; Furuichi, K.; Hirose, S. Fundamental performance of a 6 wheeled off-road vehicle “HELIOS-V”. In Proceedings of the 1999 IEEE International Conference on Robotics and Automation, Detroit, MI, USA, 10–15 May 1999; Volume 3, pp. 2336–2341. [Google Scholar]
  55. Chen, C.; Pham, H. Design and fabrication of a statically stable stair-climbing robotic wheelchair. Ind. Robot. Int. J. 2009, 6, 562–569. [Google Scholar] [CrossRef]
  56. RPWheel Project for Cybathlon. Available online: https://sites.google.com/osakac.ac.jp/rpwheel/cybathlon2020?authuser=0 (accessed on 15 April 2023).
  57. Zhang, H.; Yang, S.; Chen, X.; Lu, X.; Wang, Y. Final Design Review: Stair-Climbing Machine. 2016. Available online: https://docs.google.com/document/d/1W2TeU4i8153FuLejfbfsoq7PUXol_FTQb_bXV0Blf7k/edit (accessed on 15 April 2023).
  58. Mourikis, A.I.; Trawny, N.; Roumeliotis, S.I.; Helmick, D.M.; Matthies, L. Autonomous Stair Climbing for Tracked Vehicles. Int. J. Robot. Res. 2007, 7, 737–758. [Google Scholar] [CrossRef]
  59. Yoneda, K.; Ota, Y.; Hirose, S. Development of a Hi-Grip Stair Climbing Crawler with Hysteresis Compliant Blocks. In Proceedings of the 4th International Conference on Climbing and Walking Robots, Karlsruhe, Germany, September 2001; pp. 569–576. [Google Scholar]
  60. Hirose, S.; Sensu, T. The TAQT Carrier: A Practical Terrain Adaptive Quadru-track Carrier Robot. In Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Raleigh, NC, USA, 7–10 July 1992; pp. 2068–2073. [Google Scholar]
  61. Hirose, S.; Fukushima, E.F.; Damoto, R.; Nakamoto, H. Design of terrain adaptive versatile crawler vehicle HELIOS-VI. In Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Maui, HI, USA, 29 October–3 November 2001; Volume 3, pp. 1540–1545. [Google Scholar]
  62. Thamel, S.R.; Munasinghe, R.; Lalitharatne, T. Motion Planning of Novel Stair-Climbing Wheelchair for Elderly and Disabled People. In Proceedings of the Moratuwa Engineering Research Conference, Moratuwa, Sri Lanka, 28–30 July 2020; pp. 590–595. [Google Scholar]
  63. Rehman, B.U.; Caldwell, D.G.; Semini, C. Centaur robots—A survey. In Human-Centric Robotics: Proceedings of the CLAWAR 2017: 20th International Conference on Climbing and Walking Robots and the Support Technologies for Mobile Machines, Porto, Portugal, 11–13 September 2017; World Scientific: Singapore, 2017; pp. 247–258. [Google Scholar]
  64. Ugenti, A.; Galati, R.; Mantriota, G.; Reina, G. Analysis of an all-terrain tracked robot with innovative suspension system. Mech. Mach. Theory 2023, 182, 105237. [Google Scholar] [CrossRef]
  65. Htoo, P.T. Development of a Stair-Climbing Robot; Asian Institute of Technology: Khlong Nueng, Thailand, 2016. [Google Scholar]
  66. Ruiqin, L.; Kaitong, X.; Shijie, L.; Jianwei, Z. Object Loading Robot Which Can Move as well as Climb Stairs. China Patent CN107640235A, 30 January 2018. [Google Scholar]
  67. Dongsheng, I.; Congying, L. Multi-Mode Driving Crawler-Type Electric Carrying Device and Method. China Patent CN111547145A, 18 August 2020. [Google Scholar]
  68. Deshmukh, S.H.; Yadav, D.; Chowalloor, B. Development of stair climbing transporter. In Proceedings of the 13th National Conference on Mechanisms and Machines, Bangalore, India, 12–13 December 2007. [Google Scholar]
  69. Wen, H.; Yang, H.; Chen, Y.; Zhou, L.; Wu, D. A Robot with Decoupled Mechanical Structure and Adapted State Machine Control for Both Ground and Staircase Situations. Appl. Sci. 2019, 9, 5185. [Google Scholar] [CrossRef]
  70. Okada, T.; Botelho, W.T.; Shimizu, T. Motion Analysis with Experimental Verification of the Hybrid Robot PEOPLER-II for Reversible Switch between Walk- and Roll-on Demand. Int. J. Robot. Res. 2010, 29, 1199–1221. [Google Scholar] [CrossRef]
  71. Okada, T.; Mahmoud, A.; Botelho, W.T.; Shimizu, T. Trajectory Estimation of a Skid-Steering Mobile Robot Propelled by Independently Driven Wheels. Robotica 2012, 30, 123–132. [Google Scholar] [CrossRef]
  72. Shihua, J. Multi-Road-Condition Vertical Movement Transporting Device and Transporting Method. China Patent CN106394721A, 15 February 2017. [Google Scholar]
  73. Yeping, L.; Yong, X. A Multistep Attitude Conveying Robot for Takeaway Food Delivery. China Patent CN208278190U, 25 December 2018. [Google Scholar]
  74. Yinhui, Z.; Yuyan, L.; Sen, W.; Zifen, H. Climb Stair Robot. China Patent CN207579987U, 6 July 2018. [Google Scholar]
  75. Lee, W.; Kang, S.; Kim, M.; Park, M. ROBHAZ-DT3: Teleoperated mobile platform with passively adaptive double-track for hazardous environment applications. In Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Sendai, Japan, 28 September–2 October 2004. [Google Scholar]
  76. Ben-Tzvi, P.; Ito, S.; Goldenberg, A.A. Autonomous Stair Climbing with Reconfigurable Tracked Mobile Robot. In Proceedings of the 2007 International Workshop on Robotic and Sensors Environments, Ottawa, ON, Canada, 12–13 October 2007; pp. 1–6. [Google Scholar]
  77. Vu, Q.; Kim, B.; Song, J. Autonomous stair climbing algorithm for a small four-tracked robot. In Proceedings of the 2008 International Conference on Control, Automation and Systems, Seoul, Republic of Korea, 14–17 October 2008; pp. 2356–2360. [Google Scholar]
  78. Moosavian, A.; Semsarilar, H.; Kalantari, A. Design and Manufacturing of a Mobile Rescue Robot. In Proceedings of the 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems, Beijing, China, 9–13 October 2006; pp. 3982–3987. [Google Scholar]
  79. Michaud, F.; Létourneau, D.; Arsenault, M.; Bergeron, Y.; Cadrin, R.; Gagnon, F.; Legault, M.; Millette, M.; Paré, J.; Tremblay, M.; et al. AZIMUT, a leg-track-wheel robot. In Proceedings of the 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003), Las Vegas, NV, USA, 27–31 October 2003. [Google Scholar]
  80. Mohammad, I.; Emir, I.; Ibraahiim, J.; Juniza, M.D.S.; Mastura, S. Mechanical design and development of Tri-Star wheel system for stair climbing robot. In Proceedings of the Aceh Development International Conference, Kuala Lumpur, Malaysia, 26–28 March 2012. [Google Scholar]
  81. Smith, L.M.; Quinn, R.D.; Johnson, K.A.; Tuck, W.R. The Tri-Wheel: A novel wheel-leg mobility concept. In Proceedings of the 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems, Hamburg, Germany, 28 September–3 October 2015; pp. 4146–4152. [Google Scholar]
  82. Eich, M.; Grimminger, F.; Bosse, S.; Spenneberg, D.; Kirchner, F. Asguard: A Hybrid-Wheel Security and SAR-Robot Using Bio-Inspired Locomotion for Rough Terrain. Proc. ROBIO 2007, 20082008, 774–779. [Google Scholar]
  83. Eich, A.M.; Grimminger, F.; Kirchner, F. A Versatile Stair-Climbing Robot for Search and Rescue Applications. In Proceedings of the IEEE International Workshop on Safety, Security and Rescue Robotics, Sendai, Japan, 21–24 October 2008; pp. 35–40. [Google Scholar]
  84. Krys, V.; Bobovský, Z.; Kot, T.; Marek, J. Synthesis of action variable for motor controllers of a mobile system with special wheels for movement on stairs. Perspect. Sci. 2016, 7, 329–332. [Google Scholar] [CrossRef]
  85. Mostyn, V.; Krys, V.; Kot, T.; Bobovsky, Z.; Novak, P. The synthesis of a segmented stair-climbing wheel. Int. J. Adv. Robot. Syst. 2018, 15, 1729881417749470. [Google Scholar] [CrossRef]
  86. Herbert, S.D.; Drenner, A.; Papanikolopoulos, N. Loper: A quadruped-hybrid stair climbing robot. In Proceedings of the 2008 IEEE International Conference on Robotics and Automation, Pasadena, CA, USA, 19–23 May 2008; pp. 799–804. [Google Scholar]
  87. Choe, J.; Kwon, U.; Nah, M.C.; Kim, H. Design Analysis of TuskBot: Universal Stair Climbing 4-Wheel Indoor Robot. In Proceedings of the International Conference on Intelligent Robots and Systems, Vancouver, BC, Canada, 24–28 September 2017. [Google Scholar]
  88. Kim, D.; Hong, H.; Kim, H.S.; Kim, J. Optimal design and kinetic analysis of a stair-climbing mobile robot with rocker-bogie mechanism. Mech. Mach. Theory 2012, 50, 90–108. [Google Scholar] [CrossRef]
  89. Choi, D.; Kim, J.R.; Cho, S.; Jung, S.; Kim, J. Rocker-Pillar: Design of the rough terrain mobile robot platform with caterpillar tracks and rocker bogie mechanism. In Proceedings of the 2012 IEEE/RSJ International Conference on Intelligent Robots and Systems, Vilamoura, Portugal, 7–12 October 2012; pp. 3405–3410. [Google Scholar]
  90. Lauria, M.; Piguet, Y.; Siegwart, R. Octopus—An Autonomous Wheeled Climbing Robot. In Proceedings of the Fifth International Conference on Climbing and Walking Robots, Paris, France, 25–27 September 2002. [Google Scholar]
  91. Bruzzone, L.; Baggetta, M.; Nodehi, S.E.; Bilancia, P.; Fanghella, P. Functional Design of a Hybrid Leg-Wheel-Track Ground Mobile Robot. Machines 2021, 9, 10. [Google Scholar] [CrossRef]
  92. Bruzzone, L.; Fanghella, P. Mantis hybrid leg-wheel robot: Stability analysis and motion law synthesis for step climbing. In Proceedings of the IEEE/ASME 10th International Conference on Mechatronic and Embedded Systems and Applications, Senigallia, Italy, 10–12 September 2014; pp. 1–6. [Google Scholar]
  93. Mabuchi, T.; Nagasawa, T.; Awa, K. Development of a stair-climbing mobile robot with legs and wheels. Artif. Life Robot. 1998, 2, 184–188. [Google Scholar] [CrossRef]
  94. Takanishi, A.; Takeya, T.; Kato, H.K.I. A control method for dynamic biped walking under unknown external force. In Proceedings of the IEEE International Workshop on Intelligent Robots and Systems, Towards a New Frontier of Applications, Piscatway, NJ, USA, 3–6 July 1990; Volume 2, pp. 795–801. [Google Scholar]
  95. Zhang, R.X.; Vadakkepat, P. Motion planning of biped robot climbing stairs. Proc. FIRA Congr. 2003. Available online: http://ai.stanford.edu/~rxzhang/Motion%20Planning%20of%20Biped%20Robot%20Climbing.pdf (accessed on 15 April 2023).
  96. Gong, Y.; Hartley, R.; Da, X.; Hereid, A.; Harib, O.; Huang, J.; Grizzle, J. Feedback Control of a Cassie Bipedal Robot: Walking, Standing, and Riding a Segway. In Proceedings of the 2019 American Control Conference, Philadelphia, PA, USA, 10–12 July 2019. [Google Scholar]
  97. Dai, M.; Xiong, X.; Ames, A. Bipedal Walking on Constrained Footholds: Momentum Regulation via Vertical COM Control. In Proceedings of the 2022 International Conference on Robotics and Automation, Philadelphia, PA, USA, 23–27 May 2022; pp. 10435–10441. [Google Scholar]
  98. Chen, S.; Huang, K.J.; Li, C.; Lin, P. Trajectory planning for stair climbing in the leg-wheel hybrid mobile robot quattroped. In Proceedings of the 2011 IEEE International Conference on Robotics and Automation, Shanghai, China, 9–13 May 2011; pp. 1229–1234. [Google Scholar]
  99. Chen, S.; Huang, K.J.; Chen, W.H.; Shen, S.Y.; Li, C.H.; Lin, P. Quattroped: A Leg-Wheel Transformable Robot. IEEE/ASME Trans. Mechatron. 2014, 2, 730–742. [Google Scholar] [CrossRef]
  100. Liu, C.; Lin, M.; Huang, Y.; Pai, T.; Wang, C. The development of a multi-legged robot using eight-bar linkages as leg mechanisms with switchable modes for walking and stair climbing. In Proceedings of the 3rd International Conference on Control, Automation and Robotics, Nagoya, Japan, 22–24 April 2017; pp. 103–108. [Google Scholar]
  101. Bledt, G.; Powell, M.J.; Katz, B.; Di Carlo, J.; Wensing, P.M.; Kim, S. MIT Cheetah 3: Design and Control of a Robust, Dynamic Quadruped Robot. In Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Madrid, Spain, 1–5 October 2018. [Google Scholar]
  102. Bouman, A. Autonomous Spot: Long-Range Autonomous Exploration of Extreme Environments with Legged Locomotion. In Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Las Vegas, NV, USA, 24 October 2020–24 January 2021; pp. 2518–2525. [Google Scholar]
  103. Hutter, M.; Gehring, C.; Jud, D.; Lauber, A.; Bellicoso, C.D.; Tsounis, V.; Hwangbo, J.; Bodie, K.; Fankhauser, P.; Bloesch, M.; et al. ANYmal—A highly mobile and dynamic quadrupedal robot. In Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Daejeon, Republic of Korea, 9–14 October 2016; pp. 38–44. [Google Scholar]
  104. Lu, D.; Dong, E.; Liu, C.; Xu, M.; Yang, J. Design and development of a leg-wheel hybrid robot “HyTRo-I”. In Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Tokyo, Japan, 3–7 November 2013; pp. 6031–6036. [Google Scholar]
  105. Labib, O.; El-Safty, S.; Mueller, S.; Haalboom, T.; Strand, M. Towards a Stair Climbing Robot System Based on a Re-configurable Linkage Mechanism. Intell. Auton. Syst. 2018, 15, 278–288. [Google Scholar]
  106. Moore, E.Z.; Campbell, D.; Grimminger, F.; Buehler, M. Reliable Stair Climbing in Simple Hexapod ‘RHex’. In Proceedings of the 2002 IEEE International Conference on Robotics and Automation, Washington, DC, USA, 11–15 May 2002; Volume 3, pp. 2222–2227. [Google Scholar]
  107. Klemm, V. Ascento: A two-wheeled jumping robot. In Proceedings of the 2019 International Conference on Robotics and Automation, Montreal, QC, Canada, 20–24 May 2019; pp. 7515–7521. [Google Scholar]
  108. Binnard, M.B. Design of a Small Pneumatic Walking Robot. Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA, USA, 1995. [Google Scholar]
  109. Dudek, G.; Jenkin, M. Computational Principles of Mobile Robotics; Cambridge University Press: Cambridge, UK, 2010. [Google Scholar]
Figure 1. Staircase nomenclature. Typical values for run are 22.8–27.9 cm, rise 20.3 cm, nosing 2.5 cm.
Figure 1. Staircase nomenclature. Typical values for run are 22.8–27.9 cm, rise 20.3 cm, nosing 2.5 cm.
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Figure 2. Categorization chart for Stair-Climbing Vehicles.
Figure 2. Categorization chart for Stair-Climbing Vehicles.
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Figure 3. (a) Scewo wheelchair in action. Adapted with permission from ref. [21]. 2023 Preeta Chatterjee 24 September 2021; (b) Amoeba Go-1 in action [22].
Figure 3. (a) Scewo wheelchair in action. Adapted with permission from ref. [21]. 2023 Preeta Chatterjee 24 September 2021; (b) Amoeba Go-1 in action [22].
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Figure 4. Normalized Work Capability comparison for wheelchair type robots; Chen [55]; TBW-I [53]; Lawn [52]; Morales [51]; RT-Mover PType WA [48,49,50]; WL-16 II [45,46]; Lee [47]; Zero Carrier [41,42]; Wheelchiar.q [37,38]; iBOT 4000 [35,36]; All-Terrain Wheelchair [34]; Caterwill GTS5 Lux [32]; B-Free Ranger [30]; Tao [29]; WT-Wheelchair [27,28]; TopChair-S [26]; Scewo Bro [25].
Figure 4. Normalized Work Capability comparison for wheelchair type robots; Chen [55]; TBW-I [53]; Lawn [52]; Morales [51]; RT-Mover PType WA [48,49,50]; WL-16 II [45,46]; Lee [47]; Zero Carrier [41,42]; Wheelchiar.q [37,38]; iBOT 4000 [35,36]; All-Terrain Wheelchair [34]; Caterwill GTS5 Lux [32]; B-Free Ranger [30]; Tao [29]; WT-Wheelchair [27,28]; TopChair-S [26]; Scewo Bro [25].
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Figure 5. Normalized Work Capability comparison for carrier type robots; Deshmukh [68]; iRobot 710 Kobra [63]; Haulerbot [62]; HELIOS-VI [61]; TAQT Carrier [60]; Yoneda [59].
Figure 5. Normalized Work Capability comparison for carrier type robots; Deshmukh [68]; iRobot 710 Kobra [63]; Haulerbot [62]; HELIOS-VI [61]; TAQT Carrier [60]; Yoneda [59].
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Figure 6. Max crossable height and slope comparison for wheelchair type robots; Chen [55]; HELIOS-V [54]; TBW-I [53]; Lawn [52]; Morales [51]; RT-Mover PType WA [48,49,50]; WL-16 II [45,46]; Lee [47]; Zero Carrier [41,42]; Castillo [39]; Wheelchiar.q [37,38]; iBOT 4000 [35,36]; All-Terrain Wheelchair [34]; Caterwill GTS5 Lux [32]; B-Free Ranger [30]; Tao [29]; WT-Wheelchair [27,28]; TopChair-S [26]; Scewo Bro [25].
Figure 6. Max crossable height and slope comparison for wheelchair type robots; Chen [55]; HELIOS-V [54]; TBW-I [53]; Lawn [52]; Morales [51]; RT-Mover PType WA [48,49,50]; WL-16 II [45,46]; Lee [47]; Zero Carrier [41,42]; Castillo [39]; Wheelchiar.q [37,38]; iBOT 4000 [35,36]; All-Terrain Wheelchair [34]; Caterwill GTS5 Lux [32]; B-Free Ranger [30]; Tao [29]; WT-Wheelchair [27,28]; TopChair-S [26]; Scewo Bro [25].
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Figure 7. Max crossable height and slope comparison for carrier type robots; Wen [69]; Deshmukh [68] iRobot 710 Kobra [63]; Haulerbot [62]; Yoneda [59].
Figure 7. Max crossable height and slope comparison for carrier type robots; Wen [69]; Deshmukh [68] iRobot 710 Kobra [63]; Haulerbot [62]; Yoneda [59].
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Figure 8. Transport Ability comparison for wheelchair type robots; Chen [55]; HELIIOS-V [54]; TBW-I [53]; Morales [51]; RT-Mover PType WA [48,49,50]; WL-16 II [45,46]; Lee [47]; Zero Carrier [41,42]; Castillo [39]; Wheelchiar.q [37,38]; iBOT 4000 [35,36]; All-Terrain Wheelchair [34]; B-Free Ranger [30]; Tao [29]; TopChair-S [26].
Figure 8. Transport Ability comparison for wheelchair type robots; Chen [55]; HELIIOS-V [54]; TBW-I [53]; Morales [51]; RT-Mover PType WA [48,49,50]; WL-16 II [45,46]; Lee [47]; Zero Carrier [41,42]; Castillo [39]; Wheelchiar.q [37,38]; iBOT 4000 [35,36]; All-Terrain Wheelchair [34]; B-Free Ranger [30]; Tao [29]; TopChair-S [26].
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Figure 9. Transport Ability comparison for carrier type robots; Deshmukh [68]; Haulerbot [62] HELIOS-VI [61]; TAQT Carrier [60].
Figure 9. Transport Ability comparison for carrier type robots; Deshmukh [68]; Haulerbot [62] HELIOS-VI [61]; TAQT Carrier [60].
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Figure 10. Payload Capacity—Normalized speed scatter plot.
Figure 10. Payload Capacity—Normalized speed scatter plot.
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Figure 11. Normalized Work Capability—Payload Capacity scatter plot.
Figure 11. Normalized Work Capability—Payload Capacity scatter plot.
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Figure 12. Maximum stairs slope—Payload Capacity scatter plot.
Figure 12. Maximum stairs slope—Payload Capacity scatter plot.
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Figure 13. Maximum Stairs Slope—Normalized Work Capability scatter plot.
Figure 13. Maximum Stairs Slope—Normalized Work Capability scatter plot.
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Figure 14. Transport Ability to Payload Capacity scatter plot.
Figure 14. Transport Ability to Payload Capacity scatter plot.
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Figure 15. Transport Ability to Normalized Work Capability scatter plot.
Figure 15. Transport Ability to Normalized Work Capability scatter plot.
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Figure 16. Cost scale graph.
Figure 16. Cost scale graph.
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Table 1. Track-based wheelchair type robots list.
Table 1. Track-based wheelchair type robots list.
NameSolutionFeatures
Scewo Bro [25]Robotics 12 00074 i001Commercial solution, automatic stair-climbing system, self-balancing software control, high safety
TopChair-S [26]Robotics 12 00074 i002Commercial solution, automatic stair-climbing system, self-balancing software control
WT Wheelchair [27,28]Robotics 12 00074 i003Prototype solution, manual stair-climbing system, no self-balancing control system
Tao [29]Robotics 12 00074 i004Prototype solution, manual stair-climbing system, self-balancing software control
B-Free Ranger [30]Robotics 12 00074 i005Commercial solution, automatic stair-climbing system, self-balancing software control
ZED evolution [31]Robotics 12 00074 i006Prototype solution, manual stair-climbing system, no self-balancing control system
Caterwil GTS5 Lux [32]Robotics 12 00074 i007Commercial solution, automatic stair-climbing system, self-balancing software control, high speed
Fortissimo [33]Robotics 12 00074 i008Prototype solution, manual stair-climbing system, no self-balancing control system
Hkust [33]Robotics 12 00074 i009Prototype solution, manual control, no self-balancing control system
All-Terrain Wheelchair [34]. Adapted with permission ref. [34] 2017 Janez Podobnik Robotics 12 00074 i010Prototype solution, automatic stair-climbing system, self-balancing software control, Chebyshev-based linkage mechanism for lifting and lowering the tracks
Table 2. Wheel cluster-based wheelchair type robots list.
Table 2. Wheel cluster-based wheelchair type robots list.
NameSolutionFeatures
iBOT 4000 [35,36]Robotics 12 00074 i011Commercial solution, automatic stair-climbing system, self-balancing software control, good driving range
Wheelchair.q [37,38]. Adapted with permission from ref. [37] 2017 Giuseppe Quaglia, Matteo Nisi Robotics 12 00074 i012Prototype solution, manual control, no self-balancing control system, good performance
Castillo [39]. Adapted with permission from ref [39] 2017 Basilio Dobras CastilloRobotics 12 00074 i013Prototype solution, manual control, self-balancing control system, low comfort
Table 3. Hybrid and leg-based wheelchair type robots list.
Table 3. Hybrid and leg-based wheelchair type robots list.
NameSolutionFeatures
Wang [40]. Adapted with permission from ref [40] 2014 Hongbo WangRobotics 12 00074 i014Prototype solution, manula stair-climbing system
Zero Carrier [41,42]. Adapted with permission from ref. [41] 2004 Jianjun YuanRobotics 12 00074 i015Prototype solution, automatic stair-climbing system, low speed
JWCR-1 [43,44]. Adapted with permission from ref. [44] 2007 Jiaoyan TangRobotics 12 00074 i016Prototype solution, manual control, low safety
WL-16 II [45,46]. Adapted with permission from ref. [45] 2006 Y. Sugahara Robotics 12 00074 i017Prototype solution, manual control
Table 4. Articulated mechanism-based wheelchair type robots list.
Table 4. Articulated mechanism-based wheelchair type robots list.
NameSolutionFeatures
RT-Mover PType WA [48,49,50]Robotics 12 00074 i018Prototype solution, automatic stair-climbing system, self-balancing software control
Morales [51]Robotics 12 00074 i019Prototype solution, automatic stair-climbing system, self-balancing software control, low speed
Lawn [52]. Adapted with permission from ref. [52] 2003 M.J. LawnRobotics 12 00074 i020Prototype solution, automatic stair-climbing system, self-balancing software control
TBW-I [53]. Adapted with permission from ref. [53] 2010 Yusuke SugaharaRobotics 12 00074 i021Prototype solution, manual control, no self-balancing control system
HELIOS-V [54]. Adapted with permission from ref. [54] 1999 Y. UchidaRobotics 12 00074 i022Prototype solution, manual control, no self-balancing control system
Chen [55]. Adapted with permission from ref. [55] 2012 Chun-Ta Chen, Hoang-Vuong PhamRobotics 12 00074 i023Prototype solution, manual control, no self-balancing control system, low stability
RPWheel [56]Robotics 12 00074 i024Prototype solution, manual control, no self-balancing control system
Table 5. Track-based carrier type robots list.
Table 5. Track-based carrier type robots list.
NameSolutionFeatures
Zhang [57,58]Robotics 12 00074 i025Prototype solution, autonomous driving, self-balancing control system, small dimensions
Amoeba Go-1 [22]Robotics 12 00074 i026Commercial solution, autonomous driving, self-balancing control system, soft rubber tracks
Yoneda [59]Robotics 12 00074 i027Prototype solution, manual control, no self-balancing control system
TAQT Carrier [60]. Adapted with permission from ref. [60] 1992 S. HiroseRobotics 12 00074 i028Prototype solution, manual control, self-balancing system
HELIOS-VI [61]Robotics 12 00074 i029Prototype solution, manual control, no self-balancing control system
Haulerbot [62]Robotics 12 00074 i030Commercial solution, autonomous driving, self-balancing control system, high payload capacity
iRobt 710 Kobra [63]Robotics 12 00074 i031Commercial solution, autonomous driving, self-balancing control system
Polibot [64]Robotics 12 00074 i032Prototype solution, manual control, no self-balancing control system
Table 6. Wheel cluster-based carrier type robots list.
Table 6. Wheel cluster-based carrier type robots list.
NameSolutionFeatures
Deshmukh [68]Robotics 12 00074 i033Prototype solution, manual control, no self-balancing control system
Table 7. Hybrid and leg-based carrier type robots list.
Table 7. Hybrid and leg-based carrier type robots list.
NameSolutionFeatures
Wen [69]Robotics 12 00074 i034Prototype solution, autonomous driving, automatic stair-climbing system
PEOPLER-II [70,71]Robotics 12 00074 i035Prototype solution, autonomous driving, no self-balancing control system
Table 8. Track-based robots list.
Table 8. Track-based robots list.
NameSolutionFeatures
ROBHAZ-DT3 [75]. Adapted with permission from ref. [75] 2004 Woosub LeeRobotics 12 00074 i036Prototype solution, teleoperated control
Variable configuration articulated tracked vehicle [76]. Adapted with permission from ref. [76] 2007 Pinhas Ben-TzviRobotics 12 00074 i037Prototype solution, teleoperated control, self-balancing control system
MACbot [77]Robotics 12 00074 i038Prototype solution, automatic stair-climbing system
Silver [78]. Adapted with permission from ref. [78] 2006 S. Ali A. Moosavian Robotics 12 00074 i039Prototype solution, mobile rescue robot automatic stair-climbing system, teleoperated control, self-balancing control system
Azimut [79]. Adapted with permission from ref. [79] 2003 F. MichaudRobotics 12 00074 i040Prototype solution, flat diamond-shape tracks, local perception system
Table 9. Wheel cluster-based robots list.
Table 9. Wheel cluster-based robots list.
NameSolutionFeatures
The Tri-Wheel [80,81]. Adapted with permission from ref. [81] 2015 Lauren M. SmithRobotics 12 00074 i041Prototype solution
Asguard [82,83]Robotics 12 00074 i042Prototype solution, mobile rescue robot, motion control software
Krys [84,85]Robotics 12 00074 i043Prototype solution, segmented
stair-climbing wheels
Looper [86]. Adapted with permission from ref. [86] 2008 Sam D. HerbertRobotics 12 00074 i044Prototype solution
Table 10. Articulated mechanism-based robots list.
Table 10. Articulated mechanism-based robots list.
NameSolutionFeatures
TuskBot [87]. Adapted with permission from ref. [87] 2017 Jonghun ChoeRobotics 12 00074 i045Prototype solution, indoor operations, length-adaptable platform
Rocker-Bogie [88]. Adapted with permission from ref. [88] 2012 Dongmok Kim, Heeseung Hong, Hwa Soo Kim, Jongwon KimRobotics 12 00074 i046Prototype solution, automatic stair-climbing system
Rocker-Pillar [89]. Adapted with permission from ref. [89] 2012 Dongkyu ChoiRobotics 12 00074 i047Prototype solution, automatic stair-climbing system
Octopus [90]Robotics 12 00074 i048Prototype solution, automatic stair-climbing system
WheTLHLoc [91]Robotics 12 00074 i049Prototype solution, all-terrain mobile robot, automatic stair-climbing system
Mantis [92]. Adapted with permission from ref. [92] 2014 Luca BruzzoneRobotics 12 00074 i050Prototype solution, teleoperated control
Table 11. Biped-based robots list.
Table 11. Biped-based robots list.
NameSolutionFeatures
WL-12RIII [94]Robotics 12 00074 i051Prototype solution, ZMP (Zero Moment Point) stability control, teleoperated system
RoboSapien [95]Robotics 12 00074 i052Prototype solution, ZMP (Zero Moment Point) stability control, teleoperated system
Cassie [96,97]. Adapted with permission from White, J.; Swart, D.; Hubicki, C.; Force-based Control of Bipedal Balancing on Dynamic Terrain with the “Tallahassee Cassie” Robotic Platform. 2020 IEEE International Conference on Robotics and Automation (ICRA), Paris, France, 2020, pp. 6618–6624, 2020 J. WhiteRobotics 12 00074 i053Prototype solution, autonomous walking
Table 12. Quadruped-based robots list.
Table 12. Quadruped-based robots list.
ReferenceSolutionFeatures
Quattroped [98,99]. Adapted from permission from ref. [98] 2011 Shen-Chiang Chen Robotics 12 00074 i054Prototype solution, teleoperated system
Liu [100]. Adapted with permission from ref. [100] 2017 Chih-Hsing LiuRobotics 12 00074 i055Prototype solution, teleoperated system, balancing control system
Cheetah 3 [101]Robotics 12 00074 i056Prototype solution, autonomous walking without use of cameras
Spot [102]Robotics 12 00074 i057Commercial solution, autonomous walking
ANYmal [103]. Adapted with permission from ref. [103] 2016 Marco HutterRobotics 12 00074 i058Prototype solution, autonomous walking
HyTRO-I [104]. Adapted with permission from ref. [104] 2013 Dongping LuRobotics 12 00074 i059Prototype solution, manual control
Table 13. Hexapod-based robots list.
Table 13. Hexapod-based robots list.
NameSolutionFeatures
RHex [106]. Adapted with permission from ref. [106] 2002 E.Z. MooreRobotics 12 00074 i060Prototype solution, automatic stair-climbing system
Table 14. Wheeled-based robots list.
Table 14. Wheeled-based robots list.
NameSolutionFeatures
Ascento Pro [107]Robotics 12 00074 i061Commercial solution, autonomous drive, outdoor survelliance service
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Pappalettera, A.; Bottiglione, F.; Mantriota, G.; Reina, G. Watch the Next Step: A Comprehensive Survey of Stair-Climbing Vehicles. Robotics 2023, 12, 74. https://doi.org/10.3390/robotics12030074

AMA Style

Pappalettera A, Bottiglione F, Mantriota G, Reina G. Watch the Next Step: A Comprehensive Survey of Stair-Climbing Vehicles. Robotics. 2023; 12(3):74. https://doi.org/10.3390/robotics12030074

Chicago/Turabian Style

Pappalettera, Antonio, Francesco Bottiglione, Giacomo Mantriota, and Giulio Reina. 2023. "Watch the Next Step: A Comprehensive Survey of Stair-Climbing Vehicles" Robotics 12, no. 3: 74. https://doi.org/10.3390/robotics12030074

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