Adaptive Tracking Control for a Class of Nonlinear MIMO Systems: A Quasi-Fast Finite-Time Design Technique

In this paper, we investigate the problem of adaptive finite-time tracking control for a class of nonlinear multi-input and multi-output (MIMO) systems with a state coupling relationship between subsystems, which is called the structure of nonstrict-feedback. Based on the quasi-fast finite-time desi...

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Main Authors: Xiao-An Wang, Dong-Yang Jin, Yu Zhang, Jia-Ming Zhang, Ben Niu, Xiao-Mei Liu
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9576074/
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author Xiao-An Wang
Dong-Yang Jin
Yu Zhang
Jia-Ming Zhang
Ben Niu
Xiao-Mei Liu
author_facet Xiao-An Wang
Dong-Yang Jin
Yu Zhang
Jia-Ming Zhang
Ben Niu
Xiao-Mei Liu
author_sort Xiao-An Wang
collection DOAJ
description In this paper, we investigate the problem of adaptive finite-time tracking control for a class of nonlinear multi-input and multi-output (MIMO) systems with a state coupling relationship between subsystems, which is called the structure of nonstrict-feedback. Based on the quasi-fast finite-time design technique, an adaptive controller is obtained for the considered MIMO systems. The advantages of the presented control scheme lie in that the “explosion of complexity” problem in the backstepping process is solved by utilizing the command filter technique, and the design difficulties caused by nonstrict-feedback structure are also overcome. It is shown that all the signals in the closed-loop system are bounded and the convergence performance with the bounded tracking errors is guaranteed in a finite time. Finally, a practical example is given to show the effectiveness of the proposed method.
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spelling doaj.art-1cf7a2edaf6c4e7088939e01049e90372022-12-21T18:39:04ZengIEEEIEEE Access2169-35362021-01-01914202014202710.1109/ACCESS.2021.31204699576074Adaptive Tracking Control for a Class of Nonlinear MIMO Systems: A Quasi-Fast Finite-Time Design TechniqueXiao-An Wang0Dong-Yang Jin1Yu Zhang2https://orcid.org/0000-0002-1018-9762Jia-Ming Zhang3https://orcid.org/0000-0002-6506-8917Ben Niu4https://orcid.org/0000-0002-3680-5594Xiao-Mei Liu5School of Information Science and Engineering, Shandong Normal University, Shandong, Jinan, ChinaSchool of Automation, Nanjing University of Science and Technology, Jiangsu, Nanjing, ChinaSchool of Information Science and Engineering, Shandong Normal University, Shandong, Jinan, ChinaSchool of Information Science and Engineering, Shandong Normal University, Shandong, Jinan, ChinaSchool of Information Science and Engineering, Shandong Normal University, Shandong, Jinan, ChinaSchool of Business, Shandong Normal University, Shandong, Jinan, ChinaIn this paper, we investigate the problem of adaptive finite-time tracking control for a class of nonlinear multi-input and multi-output (MIMO) systems with a state coupling relationship between subsystems, which is called the structure of nonstrict-feedback. Based on the quasi-fast finite-time design technique, an adaptive controller is obtained for the considered MIMO systems. The advantages of the presented control scheme lie in that the “explosion of complexity” problem in the backstepping process is solved by utilizing the command filter technique, and the design difficulties caused by nonstrict-feedback structure are also overcome. It is shown that all the signals in the closed-loop system are bounded and the convergence performance with the bounded tracking errors is guaranteed in a finite time. Finally, a practical example is given to show the effectiveness of the proposed method.https://ieeexplore.ieee.org/document/9576074/Adaptive controlbacksteppingfinite-time controlnonlinear multi-input and multi-output systems
spellingShingle Xiao-An Wang
Dong-Yang Jin
Yu Zhang
Jia-Ming Zhang
Ben Niu
Xiao-Mei Liu
Adaptive Tracking Control for a Class of Nonlinear MIMO Systems: A Quasi-Fast Finite-Time Design Technique
IEEE Access
Adaptive control
backstepping
finite-time control
nonlinear multi-input and multi-output systems
title Adaptive Tracking Control for a Class of Nonlinear MIMO Systems: A Quasi-Fast Finite-Time Design Technique
title_full Adaptive Tracking Control for a Class of Nonlinear MIMO Systems: A Quasi-Fast Finite-Time Design Technique
title_fullStr Adaptive Tracking Control for a Class of Nonlinear MIMO Systems: A Quasi-Fast Finite-Time Design Technique
title_full_unstemmed Adaptive Tracking Control for a Class of Nonlinear MIMO Systems: A Quasi-Fast Finite-Time Design Technique
title_short Adaptive Tracking Control for a Class of Nonlinear MIMO Systems: A Quasi-Fast Finite-Time Design Technique
title_sort adaptive tracking control for a class of nonlinear mimo systems a quasi fast finite time design technique
topic Adaptive control
backstepping
finite-time control
nonlinear multi-input and multi-output systems
url https://ieeexplore.ieee.org/document/9576074/
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