Control Systems, Mathematical Modeling and Automation

A special issue of Computation (ISSN 2079-3197). This special issue belongs to the section "Computational Engineering".

Deadline for manuscript submissions: closed (28 February 2022) | Viewed by 24242

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Associate Professor and Rector of Lipetsk State Technical University, Department of Automation and Computer Science, Lipetsk State Technical University, Moskovskaya str. 30, RU-398055 Lipetsk, Russia
Interests: mathematical modeling; neural networks; soft computing; interval analysis
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1. Center for Computational and Stochastic Mathematics (CEMAT-IST), University of Lisbon, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal
2. Assistant Professor, ESTG, Polytechnic of Leiria, Campus 2, Morro do Lena - Alto do Vieiro, P.O. Box 4163, 2411-901 Leiria, Portugal
Interests: applied and numerical analysis; numerical methods for differential equations; meshless (mesh-free) methods
Special Issues, Collections and Topics in MDPI journals

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Dipartimento di Scienze Sociali “D. Serrani”, Università Politecnica delle Marche, Piazza Martelli 8, 60121 Ancona, Italy
Interests: mathematical finance; option pricing; asset pricing; inverse problems for stochastic volatility models; high frequency volatility estimators; nonlinear and multi-objective programming

Special Issue Information

Dear Colleagues,

This Special Issue will publish a set of selected papers from the 3rd International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA2021), which will be held 10–12 November 2021, in Lipetsk, Russia (due to the health crisis, the conference may be held in a hybrid format or virtually). You are invited to submit a contribution to the conference for consideration in this Special Issue.

The SUMMA2021 program includes topics of interest that consist of, but are not limited to:

  • Industrial Applied Mathematics and Modeling (Mathematical Foundations of Control Theory; Control of Organizational and Socioeconomic Systems; Machine Learning);
  • Automation (Industrial Automation and Control Theory Applied to Technological Processes; Digitalization in Industrial, Economic and Social Systems; Metals and Mining Industry; Transportation Systems);
  • Industrial and Commercial Power and Power Conversion Systems (Energy Systems and Power Systems Engineering; Electric Machines and Industrial Drives; Power Electronic Devices and Components).

For detailed information on all further aspects of the conference, including the dates, keynote speakers, committees, registration, and accommodation, please check the conference website at https://summa.stu.lipetsk.ru/.

Prof. Dr. Pavel Saraev
Prof. Dr. Maria Cristina Recchioni
Prof. Dr. Svilen S. Valtchev
Guest Editors

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Computation is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • control systems
  • mathematical modeling
  • automation
  • computational methods

Published Papers (10 papers)

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Research

13 pages, 3530 KiB  
Article
Modeling of 2R Planar Dumbbell Stacker Robot Locomotion Using Force Control for Gripper Dexterous Manipulation
by Sergei Kondratev and Victor Meshcheryakov
Computation 2022, 10(9), 143; https://doi.org/10.3390/computation10090143 - 23 Aug 2022
Cited by 3 | Viewed by 2240
Abstract
This paper describes a novel approach to the robotic system’s dexterous manipulator arm design. A simulation model of the robotic system is developed in the MATLAB/Simulink environment. The designed gripper moves the dumbbells from one shelf to another using impedance and dynamics control. [...] Read more.
This paper describes a novel approach to the robotic system’s dexterous manipulator arm design. A simulation model of the robotic system is developed in the MATLAB/Simulink environment. The designed gripper moves the dumbbells from one shelf to another using impedance and dynamics control. The novel approach to contact force control was tested. For the most accurate simulation, the size and mass parameters of the manipulator and dumbbells are determined. In addition, various force parameters such as normal, friction and damping were evaluated. The dynamic behavior of the robotic system was described by the Lagrange dynamics equations to find the acceleration of the robot’s joints during friction interaction, and the energy performance was described. The corresponding dynamic model and its analysis are the starting point for its successful solution. The analytical and numerical descriptions are obtained and can be further used for computer simulation of the system, calculation of dynamic constraints, optimization of manipulator design, synthesis of trajectory planner and motion control algorithms of dexterous manipulative robotic systems. Full article
(This article belongs to the Special Issue Control Systems, Mathematical Modeling and Automation)
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16 pages, 1266 KiB  
Article
Cognitive Hybrid Intelligent Diagnostic System: Typical Architecture
by Sophiya Rumovskaya
Computation 2022, 10(5), 66; https://doi.org/10.3390/computation10050066 - 22 Apr 2022
Cited by 2 | Viewed by 1991
Abstract
The research refers to the modeling of the meaningful and relatively stable visual-figurative and verbal-sign representation of real problems in medical diagnostics of the human organs and systems. The core results of the research are presented. Here, a new visual metalanguage is proposed. [...] Read more.
The research refers to the modeling of the meaningful and relatively stable visual-figurative and verbal-sign representation of real problems in medical diagnostics of the human organs and systems. The core results of the research are presented. Here, a new visual metalanguage is proposed. It describes the solution of a diagnostic problem by combining several interconnected processes of reasoning in different languages defining “a state of human organs and systems”, “a diagnostic problem” and elements of its decomposition. In the paper, a subject-figurative model of the cognitive hybrid intelligent diagnostic system, its typical architecture, and a synthesis algorithm are provided. Due to the integration of imitation of an internal subject-figurative vision of medical diagnostic problems and the corresponding communication statements of private diagnoses with imitation of the behavior inherent for councils in problem situations, the future implementation of such system prototypes will reduce the number of medical errors. The further stage of this research is the approbation of all solutions for the problem of diagnosing diseases of the pancreas on the materials of the Kaliningrad Regional Clinical Hospital and experimental study of the system. The research is limited by the subject area of medicine but can be generalized to the other areas. Full article
(This article belongs to the Special Issue Control Systems, Mathematical Modeling and Automation)
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17 pages, 663 KiB  
Article
Aggregating Composite Indicators through the Geometric Mean: A Penalization Approach
by Francesca Mariani and Mariateresa Ciommi
Computation 2022, 10(4), 64; https://doi.org/10.3390/computation10040064 - 18 Apr 2022
Cited by 5 | Viewed by 3045
Abstract
In this paper, we introduce a penalized version of the geometric mean. In analogy with the Mazziotta Pareto Index, this composite indicator is derived as a product between the geometric mean and a penalization term to account for the unbalance among indicators. The [...] Read more.
In this paper, we introduce a penalized version of the geometric mean. In analogy with the Mazziotta Pareto Index, this composite indicator is derived as a product between the geometric mean and a penalization term to account for the unbalance among indicators. The unbalance is measured in terms of the (horizontal) variability of the normalized indicators opportunely scaled and transformed via the Box–Cox function of order zero. The penalized geometric mean is used to compute the penalized Human Development Index (HDI), and a comparison with the geometric mean approach is presented. Data come from the Human Development Data Center for 2019 and refer to the classical three dimensions of HDI. The results show that the new method does not upset the original ranking produced by the HDI but it impacts more on countries with poor performances. The paper has the merit of proposing a new reading of the Mazziotta Pareto Index in terms of the reliability of the arithmetic mean as well as of generalizing this reading to the geometric mean approach. Full article
(This article belongs to the Special Issue Control Systems, Mathematical Modeling and Automation)
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31 pages, 20055 KiB  
Article
Modeling the Territorial Structure Dynamics of the Northern Part of the Volga-Akhtuba Floodplain
by Inessa I. Isaeva, Alexander A. Voronin, Alexander V. Khoperskov and Mikhail A. Kharitonov
Computation 2022, 10(4), 62; https://doi.org/10.3390/computation10040062 - 11 Apr 2022
Cited by 8 | Viewed by 2518
Abstract
The subject of our study is the tendency to reduce the floodplain area of regulated rivers and its impact on the degradation of the socio-environmental systems in the floodplain. The aim of the work is to create a new approach to the analysis [...] Read more.
The subject of our study is the tendency to reduce the floodplain area of regulated rivers and its impact on the degradation of the socio-environmental systems in the floodplain. The aim of the work is to create a new approach to the analysis and forecasting of the multidimensional degradation processes of floodplain territories under the influence of natural and technogenic factors. This approach uses methods of hydrodynamic and geoinformation modeling, statistical analysis of observational data and results of high-performance computational experiments. The basis of our approach is the dynamics model of the complex structure of the floodplain. This structure combines the characteristics of the frequency ranges of flooding and the socio-environmental features of various sites (cadastral data of land use). Modeling of the hydrological regime is based on numerical shallow water models. The regression model of the technogenic dynamics of the riverbed allowed us to calculate corrections to the parameters of real floods that imitate the effect of this factor. This made it possible to use digital maps of the modern topography for hydrodynamic modeling and the construction of floods maps for past and future decades. The technological basis of our study is a set of algorithms and software, consisting of three modules. The data module includes, first of all, the cadastres of the territory of the Volga-Akhtuba floodplain (VAF, this floodplain is the interfluve of the Volga and Akhtuba rivers for the last 400 km before flowing into the Caspian Sea), satellite and natural observation data, spatial distributions of parameters of geoinformation and hydrodynamic models. The second module provides the construction of a multilayer digital model of the floodplain area, digital maps of floods and their aggregated characteristics. The third module calculates a complex territorial structure, criteria for the state of the environmental and socio-economic system (ESES) and a forecast of its changes. We have shown that the degradation of the ESES of the northern part of the VAF is caused by the negative dynamics of the hydrological structure of its territory, due to the technogenic influence the hydroelectric power station on the Volga riverbed. This dynamic manifests itself in a decrease in the stable flooded area and an increase in the unflooded and unstable flooded areas. An important result is the forecast of the complex territorial structure and criteria for the state of the interfluve until 2050. Full article
(This article belongs to the Special Issue Control Systems, Mathematical Modeling and Automation)
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12 pages, 570 KiB  
Article
Applying Machine Learning Methods and Models to Explore the Structure of Traffic Accident Data
by Anton Sysoev, Vladimir Klyavin, Alexandra Dvurechenskaya, Albert Mamedov and Vladislav Shushunov
Computation 2022, 10(4), 57; https://doi.org/10.3390/computation10040057 - 31 Mar 2022
Viewed by 2385
Abstract
The problem of reducing the increasing number of road traffic accidents has become more relevant in recent years. According to the United Nations plan this number has to be halved by 2030. A very effective way to handle it is to apply the [...] Read more.
The problem of reducing the increasing number of road traffic accidents has become more relevant in recent years. According to the United Nations plan this number has to be halved by 2030. A very effective way to handle it is to apply the machine learning paradigm to retrospective road traffic accident datasets. This case study applies machine learning techniques to form typical “portraits” of drivers violating road traffic rules by clustering available data into seven homogeneous groups. The obtained results can be used in forming effective marketing campaigns for different target groups. Another relevant problem under consideration is to use available retrospective statistics on mechanical road traffic accidents without victims to estimate the probable type of road traffic accident for the driver taking into account her/his personal features (such as social characteristics, typical road traffic rule violations, driving experience, and age group). For this purpose several machine learning models were applied and the results were discussed. Full article
(This article belongs to the Special Issue Control Systems, Mathematical Modeling and Automation)
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19 pages, 848 KiB  
Article
Short-Term Mortality Fluctuations and Longevity Risk-Adjusted Age: Learning the Resilience of a Country to a Health Shock
by Gloria Polinesi, Maria Cristina Recchioni, Andrea Rimondi and Anton Sysoev
Computation 2022, 10(4), 47; https://doi.org/10.3390/computation10040047 - 22 Mar 2022
Viewed by 2061
Abstract
Recent studies have attempted to measure differences in lifestyle quality across the world. This paper contributes to this strand of literature by extending the indicator introduced in Milevsky (2020), i.e., “longevity-risk-adjusted global age” (LRaG age), to deal with the new short-term mortality fluctuation [...] Read more.
Recent studies have attempted to measure differences in lifestyle quality across the world. This paper contributes to this strand of literature by extending the indicator introduced in Milevsky (2020), i.e., “longevity-risk-adjusted global age” (LRaG age), to deal with the new short-term mortality fluctuation data series freely available from the Human Mortality Database. The new weekly data on mortality allow measuring weekly biological age. The weekly differences between biological and chronological ages across countries were used to assess country resilience to the COVID-19 pandemic in terms of excess mortality and health expenditure. Countries with a biological age lower than the chronological age had a lower excess mortality in 2020–2021 and a lower health expenditure, thus indicating some resilience to the shock of COVID-19. Full article
(This article belongs to the Special Issue Control Systems, Mathematical Modeling and Automation)
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15 pages, 2047 KiB  
Article
DC Drive Adaptive Speed Controller Based on Hyperstability Theory
by Anton Glushchenko, Konstantin Lastochkin and Vladislav Petrov
Computation 2022, 10(3), 40; https://doi.org/10.3390/computation10030040 - 14 Mar 2022
Cited by 3 | Viewed by 1814
Abstract
The scope of this research is to develop a hyperstable adaptive control system of a direct current (DC) drive speed for effective load torque attenuation. The proposed speed controller is based on the model reference adaptive control framework and integrated into the conventional [...] Read more.
The scope of this research is to develop a hyperstable adaptive control system of a direct current (DC) drive speed for effective load torque attenuation. The proposed speed controller is based on the model reference adaptive control framework and integrated into the conventional DC drive cascade control system. Its main features are as follows: (1) the boundedness of the control action signal, as well as the armature current control loop non-stationarities, are taken into consideration with the help of the reference model hedging technique; (2) its inputs include only measurable signals, thus there is no need to use any kind of state estimators; (3) it attenuates the disturbances, which are matched with its control action signal, particularly, the inertia moment non-stationarity and load torque. The asymptotic hyperstability of the obtained DC drive control system is proven with the help of Lyapunov’s theorems and Popov’s criterion. The numerical experiments corroborate the obtained results. They include the demonstration of disadvantages of the conventional cascade control system under conditions of the drive parameters’ non-stationarity and advantages of the proposed solution for different disturbance types and amplitudes. Full article
(This article belongs to the Special Issue Control Systems, Mathematical Modeling and Automation)
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14 pages, 468 KiB  
Article
TS Fuzzy Robust Sampled-Data Control for Nonlinear Systems with Bounded Disturbances
by Thangavel Poongodi, Prem Prakash Mishra, Chee Peng Lim, Thangavel Saravanakumar, Nattakan Boonsatit, Porpattama Hammachukiattikul and Grienggrai Rajchakit
Computation 2021, 9(12), 132; https://doi.org/10.3390/computation9120132 - 8 Dec 2021
Cited by 3 | Viewed by 2480
Abstract
We investigate robust fault-tolerant control pertaining to Takagi–Sugeno (TS) fuzzy nonlinear systems with bounded disturbances, actuator failures, and time delays. A new fault model based on a sampled-data scheme that is able to satisfy certain criteria in relation to actuator fault matrix is [...] Read more.
We investigate robust fault-tolerant control pertaining to Takagi–Sugeno (TS) fuzzy nonlinear systems with bounded disturbances, actuator failures, and time delays. A new fault model based on a sampled-data scheme that is able to satisfy certain criteria in relation to actuator fault matrix is introduced. Specifically, we formulate a reliable controller with state feedback, such that the resulting closed-loop-fuzzy system is robust, asymptotically stable, and able to satisfy a prescribed H performance constraint. Linear matrix inequality (LMI) together with a proper construction of the Lyapunov–Krasovskii functional is leveraged to derive delay-dependent sufficient conditions with respect to the existence of robust H controller. It is straightforward to obtain the solution by using the MATLAB LMI toolbox. We demonstrate the effectiveness of the control law and less conservativeness of the results through two numerical simulations. Full article
(This article belongs to the Special Issue Control Systems, Mathematical Modeling and Automation)
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22 pages, 8349 KiB  
Article
Nonlinear Dynamics and Performance Analysis of a Buck Converter with Hysteresis Control
by Carlos I. Hoyos Velasco, Fredy Edimer Hoyos Velasco and John E. Candelo-Becerra
Computation 2021, 9(10), 112; https://doi.org/10.3390/computation9100112 - 19 Oct 2021
Cited by 4 | Viewed by 2722
Abstract
This paper presents the mathematical modeling and experimental implementation of a Buck converter with hysteresis control. The system is described using a state-space model. Theoretical and simulation studies show that the zero hysteresis control leads to an equilibrium point with the implication of [...] Read more.
This paper presents the mathematical modeling and experimental implementation of a Buck converter with hysteresis control. The system is described using a state-space model. Theoretical and simulation studies show that the zero hysteresis control leads to an equilibrium point with the implication of an infinite commutation frequency, while the use of a constant hysteresis band induces a limit cycle with a finite switching frequency. There exists a tradeoff between voltage output ripple and transistor switching frequency. An experimental prototype for the Buck power converter is built, and theoretical results are verified experimentally. In general terms, the Buck converter with the hysteresis control shows a robust control with respect to load variations, with undesired high switching frequency taking place for a very narrow hysteresis band, which is solved by tuning the hysteresis band properly. Full article
(This article belongs to the Special Issue Control Systems, Mathematical Modeling and Automation)
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15 pages, 6013 KiB  
Article
Performance of the Boost Converter Controlled with ZAD to Regulate DC Signals
by Simeón Casanova Trujillo, John E. Candelo-Becerra and Fredy E. Hoyos
Computation 2021, 9(9), 96; https://doi.org/10.3390/computation9090096 - 4 Sep 2021
Cited by 1 | Viewed by 1750
Abstract
This paper presents the performance of a boost converter controlled with a zero average dynamics technique to regulate direct current signals. The boost converter is modeled in a compact form, and a variable change is performed to depend only on the γ parameter. [...] Read more.
This paper presents the performance of a boost converter controlled with a zero average dynamics technique to regulate direct current signals. The boost converter is modeled in a compact form, and a variable change is performed to depend only on the γ parameter. A new sliding surface is proposed, where it is possible to regulate both the voltage and the current with low relative errors with respect to the reference signals. It is analytically demonstrated that the approximation of the switching surface by a piecewise linear technique is efficient in controlling the system. It is shown numerically that for certain operating conditions, the system is evolved into a chaotic attractor. The zero average dynamics technique implemented in the boost converter has good regulation, due to the presence of zones in the bi-parametric space. Furthermore, the zero average dynamics technique regulates the voltage well and presents a chaotic attractor with low steady-state error. Full article
(This article belongs to the Special Issue Control Systems, Mathematical Modeling and Automation)
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