Applications of Finite-Time Disturbance Rejection Control Method

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

Deadline for manuscript submissions: closed (31 October 2023) | Viewed by 7963

Special Issue Editors


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Guest Editor
School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China
Interests: nonlinear control; robotics

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Guest Editor
Department of Systems and Naval Mechatronic Engineering, National Cheng Kung University, Tainan 70101, Taiwan
Interests: nonlinear systems; non-smooth control; homogeneous system theory
Special Issues, Collections and Topics in MDPI journals
Director of CSUN-LSAMP Program, Department of Electrical & Computer Engineering, California State University, 18111 Nordhoff Street, Northridge, CA 91330, USA
Interests: nonlinear control; optimal control; renewable energy; power systems
School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China
Interests: nonlinear control; fuzzy logic; dynamical systems

Special Issue Information

Dear Colleagues,

With the growing interest in high-precision control, the utilization of the advanced nonlinear control technique is generally required in the controller design. Finite-time control (FTC) causes not only a fast response with high control accuracy but also a strong robustness to uncertainties and/or disturbances in the closed-loop system. For decades, it has been a vibrant research area with potential applications; however, there are still some ongoing issues in the research on FTC, such as finite-time stabilization control for general nonlinear systems, singularity phenomena in sliding mode systems with finite-time convergence, finite-time disturbance observer design, finite-time disturbance rejection control, etc. Moreover, the FTC for practical systems, especially for real-world experiment studies, has fallen behind the theoretical developments. Therefore, we propose this Special Issue to showcase and discuss new advances in FTC, both in fundamentals and in applications.

The topics of interest include but are not limited to:

  • New tools/developments for finite-time control theory;
  • Finite-time control, observer and/or output feedback;
  • Finite-time state/parameter/ disturbance estimation;
  • Finite-time control with sampled-data design/ constrained design;
  • Finite-time control for robot systems/mechatronic systems ;
  • Applications of finite-time disturbance rejection control.

Prof. Dr. Haibo Du
Dr. Chih-Chiang Chen
Dr. Ruting Jia
Dr. Wenwu Zhu
Guest Editors

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Keywords

  • finite-time control
  • finite-time observer
  • disturbance rejection control
  • constrained control
  • mechatronic systems
  • robot systems

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Published Papers (5 papers)

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Research

16 pages, 371 KiB  
Communication
Fixed-Time Stabilization of a Class of Stochastic Nonlinear Systems
by Zhenzhen Long, Wen Zhou, Liandi Fang and Daohong Zhu
Actuators 2024, 13(1), 3; https://doi.org/10.3390/act13010003 - 22 Dec 2023
Cited by 1 | Viewed by 1361
Abstract
This paper investigates an improved fixed-time stability theory together with a state feedback controller for a class of nonlinear stochastic systems. First, a delicate transformation is performed, and next, a Gamma function is utilized to directly derive the value of the integral function, [...] Read more.
This paper investigates an improved fixed-time stability theory together with a state feedback controller for a class of nonlinear stochastic systems. First, a delicate transformation is performed, and next, a Gamma function is utilized to directly derive the value of the integral function, which ultimately yields a fixed-time stabilization theorem with a higher precision upper bound for the settling time. Unlike the existing estimation process of amplifying twice, we only performed one amplification, which weakens the effect of amplification. Then, a state feedback controller is constructed for stochastic systems by the method of adding a power integrator. Utilizing the proposed stochastic fixed-time stability theory, simulations show that the intended controller ensures that the trivial solution of the suggested system is fixed-time stable in probability. The results of the simulation demonstrate that the suggested control scheme is meaningful. Full article
(This article belongs to the Special Issue Applications of Finite-Time Disturbance Rejection Control Method)
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16 pages, 2953 KiB  
Article
Finite-Time Control for Dual Three-Phase Hybrid Excitation Synchronous Machine Based on Torque Sensorless Current Coordinative Strategy
by Bin Dai and Zixing Wu
Actuators 2023, 12(9), 346; https://doi.org/10.3390/act12090346 - 28 Aug 2023
Viewed by 1064
Abstract
In this paper, the finite time speed regulation problem is investigated for a dual three-phase hybrid excitation synchronous machine (DTP-HESM) without a torque meter. The electromagnetic torque estimation required in the current coordinative strategy is obtained through the disturbance estimation technology. This method [...] Read more.
In this paper, the finite time speed regulation problem is investigated for a dual three-phase hybrid excitation synchronous machine (DTP-HESM) without a torque meter. The electromagnetic torque estimation required in the current coordinative strategy is obtained through the disturbance estimation technology. This method increases fault tolerance and reduces the cost as well as complexity of the DTP-HESM system. In contrast to the existing controllers in the speed loop, the non-singular terminal sliding mode control method is adopted to ensure the finite-time convergence of speed tracking in the whole speed region. To achieve better dynamic performance in the presence of lumped disturbances, including unknown load torque and unmodeled dynamics, the disturbance estimations are introduced into the sliding mode variable to establish a composite speed regulating controller. Simulations and experiments are carried out to validate the feasibility and effectiveness of the proposed control scheme. Full article
(This article belongs to the Special Issue Applications of Finite-Time Disturbance Rejection Control Method)
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27 pages, 12356 KiB  
Article
Design of Two-Degree-of-Freedom Fractional-Order Internal Model Control Algorithm for Pneumatic Control Valves
by Min Zhu, Siyuan Chen, Zihao Xu and Xueping Dong
Actuators 2023, 12(5), 214; https://doi.org/10.3390/act12050214 - 22 May 2023
Cited by 2 | Viewed by 1541
Abstract
In response to the problems of the inaccurate pneumatic control valve model, the slow valve position control, and the low precision in the industrial control process, some improvement methods are proposed. Firstly, the fractional-order concept is introduced based on the first-order inertia model [...] Read more.
In response to the problems of the inaccurate pneumatic control valve model, the slow valve position control, and the low precision in the industrial control process, some improvement methods are proposed. Firstly, the fractional-order concept is introduced based on the first-order inertia model and IBBO (improved biogeography-based optimization) is used for iteration to obtain a specific transfer function model. Secondly, a fractional-order and two-degree-of-freedom combined internal model control algorithm is proposed. Finally, semi-physical experiments are carried out on a semi-physical experimental platform. The results show that in the field of pneumatic regulating valves, the fractional-order model has good adaptability and effectiveness, and the two-degree-of-freedom fractional-order internal model control algorithm also effectively improves the accuracy, speed, and robustness of the valve position control. Full article
(This article belongs to the Special Issue Applications of Finite-Time Disturbance Rejection Control Method)
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15 pages, 1262 KiB  
Article
Generalized Proportional Integral Observer and Kalman-Filter-Based Composite Control for DC-DC Buck Converters
by Pengyu Qiao and Hao Sun
Actuators 2023, 12(1), 20; https://doi.org/10.3390/act12010020 - 2 Jan 2023
Cited by 2 | Viewed by 1738
Abstract
There are uncertainties and disturbances in the DC-DC buck converters system; in terms of actual working conditions, they are often very complex, exhibiting a polynomial form of time series. Therefore, a single controller and an observer that can only estimate slowly varying disturbances [...] Read more.
There are uncertainties and disturbances in the DC-DC buck converters system; in terms of actual working conditions, they are often very complex, exhibiting a polynomial form of time series. Therefore, a single controller and an observer that can only estimate slowly varying disturbances will lose their effectiveness. The generalized proportional integral observer can generally be used to estimate the disturbances in the polynomial form of time series, but it is usually necessary to select a high gain to achieve the fast convergence of the observer, which makes it sensitive to measurement noise. Therefore, before designing the controller that needs to estimate information, it is necessary to design a new structure that combines an observer and a Kalman filter. The filter is used for noise filtering, and the observer is used for the online reconstruction of disturbances. This can solve the above problems. Then, the whole control strategy is designed based on backstepping control. Theoretical analysis and experimental verification can effectively illustrate the feasibility and superiority of this strategy. Full article
(This article belongs to the Special Issue Applications of Finite-Time Disturbance Rejection Control Method)
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27 pages, 1927 KiB  
Article
Secure Control of Networked Inverted Pendulum Visual Servo Systems Based on Active Disturbance Rejection Control
by Dakui Wu and Qianjiang Lu
Actuators 2022, 11(12), 355; https://doi.org/10.3390/act11120355 - 30 Nov 2022
Cited by 4 | Viewed by 1473
Abstract
This paper investigates secure control of Networked Inverted Pendulum Visual Servo Systems (NIPVSSs) based on Active Disturbance Rejection Control (ADRC). Firstly, considering the network- and image-induced delays in conjuction with computational errors caused by image processing and image attacks, the model of NIPVSSs [...] Read more.
This paper investigates secure control of Networked Inverted Pendulum Visual Servo Systems (NIPVSSs) based on Active Disturbance Rejection Control (ADRC). Firstly, considering the network- and image-induced delays in conjuction with computational errors caused by image processing and image attacks, the model of NIPVSSs is established. Secondly, the limitations of the traditional Single-Input-Single-Output (SISO) ADRC used in NIPVSSs with disturbance are revealed. The limitations are that the ESO used in the traditional SISO ADRC brings large steady-state error, and the NLSEF used in the traditional SISO ADRC can achieve stable control of pendulum angle, but cannot achieve stable control of cart position. Thirdly, a new Single-Input-Multi-Output (SIMO) ADRC method is proposed for NIPVSSs with disturbance. In the new SIMO ADRC method, the new ESO is designed by introducing additional first and second derivatives of error to reduce the steady-state error. In addition, the new NLSEF is developed by taking both the calculated cart position and pendulum angle as inputs to achieve dual stable control of pendulum angle and cart position. Finally, combined with the designed ADRC parameter-tuning strategy, the results from simulation and real-world experiments confirm the effectiveness and feasibility of the proposed method. Full article
(This article belongs to the Special Issue Applications of Finite-Time Disturbance Rejection Control Method)
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