Finite-Time/Fixed-Time Control for Mechanical Systems

A special issue of Actuators (ISSN 2076-0825). This special issue belongs to the section "Precision Actuators".

Deadline for manuscript submissions: closed (20 April 2022) | Viewed by 8927

Special Issue Editor

Center for Intelligent Autonomous Manufacturing Systems, Queen’s University, Belfast BT7 1NN, UK
Interests: robotics; robust control; finite-time observer and control; in-process quality control
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The development of finite-time/fixed-time control for mechanical systems to handle the effects of uncertainties, disturbances, and faults has been one of the important research topics in the control field. The successful implementation of finite-time/fixed-time control can offer many prominent characteristics for mechanical systems, including faster convergence, higher robustness, and better disturbance rejection capability. The theories of finite-time and fixed-time control have been applied widely in many fields, for example, in the trajectory tracking control of robots, the collaborative control of multiple agents, the attitude control of spacecraft, the fault-tolerant control of autonomous vehicles, and so on. However, the design of finite-time/fixed-time control faces many challenging issues, such as the stability and convergence of the systems. Hence, it is important to investigate the issues related to finite-time/fixed-time control.

The focus of this Special Issue is on new approaches to the design and analysis of finite-time and fixed-time controls as well as their potential practical applications for mechanical systems. The topics to be covered include, but are not limited to:

  • Theory of finite-time/fixed-time control;
  • Theory of finite-time/fixed-time observer;
  • Stability analysis of finite-time/fixed-time observer and control;
  • Finite-time observer design and output feedback;
  • Applications of finite-time/fixed-time control.

Dr. Van Mien
Guest Editor

Manuscript Submission Information

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Keywords

  • mechanical systems
  • finite-time convergence
  • finite-time observer/control
  • fixed-time control
  • fixed-time observer
  • finite-time/fixed-time output feedback control
  • finite-time/fixed-time control for mechanical systems

Published Papers (3 papers)

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Research

18 pages, 4332 KiB  
Article
Disturbance Observer-Based Tracking Controller for Uncertain Marine Surface Vessel
by Yassine Bouteraa, Khalid A. Alattas, Saleh Mobayen, Mehdi Golestani, Atef Ibrahim and Usman Tariq
Actuators 2022, 11(5), 128; https://doi.org/10.3390/act11050128 - 02 May 2022
Cited by 3 | Viewed by 2344
Abstract
In this study, a novel control framework is proposed to improve the tracking performance of uncertain marine vessels which work in enhanced sea states. The proposed control strategy is based on incorporating a fixed-time nonlinear disturbance observer (FTNDO) in a fixed-time convergent backstepping [...] Read more.
In this study, a novel control framework is proposed to improve the tracking performance of uncertain marine vessels which work in enhanced sea states. The proposed control strategy is based on incorporating a fixed-time nonlinear disturbance observer (FTNDO) in a fixed-time convergent backstepping control. More specifically, the FTNDO is developed to reconstruct the total uncertainties due to the system uncertainty and unknown time-varying exterior disturbances. In comparison with the existing disturbance observers, the FTNDO guarantees that the estimation errors will converge to the origin within a predefined time even if the initial estimation errors tend toward infinity. This feature is quite important in the closed-loop system stability analysis as the separation principle does not hold in nonlinear systems. Besides, it does not require the restricting assumption that the upper bound of the lumped uncertainty or its time derivative has to be bounded or known. A backstepping control with a compensation control part is then designed to make the tracking errors converge to the origin within a finite time regardless of initial tracking errors. The compensation control is developed by means of the estimated signal and applied to totally reject the total uncertainty. The global fixed-time stabilization of the closed-loop system is investigated through the Lyapunov stability criterion. Numerical simulation results conducted on an uncertain marine surface vessel confirm the superior control performance and efficiency of the planned method in comparison with the existing disturbance observer-based tracking control strategies. Full article
(This article belongs to the Special Issue Finite-Time/Fixed-Time Control for Mechanical Systems)
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15 pages, 21013 KiB  
Article
An Active Fault-Tolerant Control for Robotic Manipulators Using Adaptive Non-Singular Fast Terminal Sliding Mode Control and Disturbance Observer
by Van-Cuong Nguyen, Phu-Nguyen Le and Hee-Jun Kang
Actuators 2021, 10(12), 332; https://doi.org/10.3390/act10120332 - 15 Dec 2021
Cited by 4 | Viewed by 2804
Abstract
In this study, a fault-tolerant control (FTC) tactic using a sliding mode controller–observer method for uncertain and faulty robotic manipulators is proposed. First, a finite-time disturbance observer (DO) is proposed based on the sliding mode observer to approximate the lumped uncertainties and faults [...] Read more.
In this study, a fault-tolerant control (FTC) tactic using a sliding mode controller–observer method for uncertain and faulty robotic manipulators is proposed. First, a finite-time disturbance observer (DO) is proposed based on the sliding mode observer to approximate the lumped uncertainties and faults (LUaF). The observer offers high precision, quick convergence, low chattering, and finite-time convergence estimating information. Then, the estimated signal is employed to construct an adaptive non-singular fast terminal sliding mode control law, in which an adaptive law is employed to approximate the switching gain. This estimation helps the controller automatically adapt to the LUaF. Consequently, the combination of the proposed controller–observer approach delivers better qualities such as increased position tracking accuracy, reducing chattering effect, providing finite-time convergence, and robustness against the effect of the LUaF. The Lyapunov theory is employed to illustrate the robotic system’s stability and finite-time convergence. Finally, simulations using a 2-DOF serial robotic manipulator verify the efficacy of the proposed method. Full article
(This article belongs to the Special Issue Finite-Time/Fixed-Time Control for Mechanical Systems)
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19 pages, 815 KiB  
Article
Predefined-Time Control of Full-Scale 4D Model of Permanent-Magnet Synchronous Motor with Deterministic Disturbances and Stochastic Noises
by Nain de la Cruz and Michael Basin
Actuators 2021, 10(11), 306; https://doi.org/10.3390/act10110306 - 21 Nov 2021
Cited by 10 | Viewed by 2536
Abstract
This paper presents a predefined-time convergent robust control algorithm that allows the control designer to set the convergence time in advance, independently of initial conditions, deterministic disturbances, and stochastic noises. The control law is consequently designed and verified by simulations for a full-scale [...] Read more.
This paper presents a predefined-time convergent robust control algorithm that allows the control designer to set the convergence time in advance, independently of initial conditions, deterministic disturbances, and stochastic noises. The control law is consequently designed and verified by simulations for a full-scale 4-degrees-of-freedom (4D) permanent-magnet synchronous motor (PMSM) system in cases of a disturbance-free system with completely measurable states, a disturbance-free system with incompletely measurable states, a system with incompletely measurable states in the presence of deterministic disturbances, and a system with incompletely measurable states in the presence of both deterministic disturbances and stochastic noises. Numerical simulations are provided for the full-scale 4D PMSM system in order to validate the obtained theoretical results in each of the considered cases. To the best of our knowledge, this is the first attempt to design a predefined-time convergent control law for multi-dimensional systems with incompletely measurable states in the presence of both deterministic disturbances and stochastic noises. Full article
(This article belongs to the Special Issue Finite-Time/Fixed-Time Control for Mechanical Systems)
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