Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems

This article investigates an adaptive practical fixed-time control strategy for the output tracking control of a class of strict feedback nonlinear systems. By utilizing a backstepping algorithm, finite-time Lyapunov stable theory, and fuzzy logic control, a novel adaptive practical fixed-time contr...

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Bibliographic Details
Published in:	IEEE transactions on fuzzy systems Vol. 29; no. 3; pp. 664 - 673
Main Authors:	Chen, Ming, Wang, Huanqing, Liu, Xiaoping
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.03.2021 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Adaptive control Adaptive systems Algorithms Backstepping backstepping algorithm Closed loop systems Convergence Feedback control Fuzzy control Fuzzy logic fuzzy logic control Fuzzy systems Lyapunov methods Nonlinear control Nonlinear systems practical fixed-time control Tracking control Tracking errors
ISSN:	1063-6706, 1941-0034
Online Access:	Get full text
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Abstract	This article investigates an adaptive practical fixed-time control strategy for the output tracking control of a class of strict feedback nonlinear systems. By utilizing a backstepping algorithm, finite-time Lyapunov stable theory, and fuzzy logic control, a novel adaptive practical fixed-time controller is constructed. Fuzzy logic systems are introduced to approximate the unknown items of the system. Theoretical analysis proves that under the presented control strategy, the closed-loop system is practically fixed-time stable, and the tracking error converges to a small neighborhood of the origin within a fixed-time interval, in which the convergence time has no connection with the initial states of the system. In the meantime, all the signals of the closed-loop system are bounded. Finally, a numerical example is presented to indicate the feasibility and effectiveness of the proposed method.
AbstractList	This article investigates an adaptive practical fixed-time control strategy for the output tracking control of a class of strict feedback nonlinear systems. By utilizing a backstepping algorithm, finite-time Lyapunov stable theory, and fuzzy logic control, a novel adaptive practical fixed-time controller is constructed. Fuzzy logic systems are introduced to approximate the unknown items of the system. Theoretical analysis proves that under the presented control strategy, the closed-loop system is practically fixed-time stable, and the tracking error converges to a small neighborhood of the origin within a fixed-time interval, in which the convergence time has no connection with the initial states of the system. In the meantime, all the signals of the closed-loop system are bounded. Finally, a numerical example is presented to indicate the feasibility and effectiveness of the proposed method.
Author	Wang, Huanqing Chen, Ming Liu, Xiaoping
Author_xml	– sequence: 1 givenname: Ming orcidid: 0000-0002-7310-8421 surname: Chen fullname: Chen, Ming email: cm8061@sina.com organization: School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan, China – sequence: 2 givenname: Huanqing orcidid: 0000-0001-5712-9356 surname: Wang fullname: Wang, Huanqing email: ndwhq@163.com organization: Department of Mathematics, Bohai University, Jinzhou, China – sequence: 3 givenname: Xiaoping orcidid: 0000-0003-1808-4233 surname: Liu fullname: Liu, Xiaoping email: xliu2@lakeheadu.ca organization: Department of Electrical Engineering, Lakehead University, Thunder Bay, ON, Canada
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Snippet	This article investigates an adaptive practical fixed-time control strategy for the output tracking control of a class of strict feedback nonlinear systems. By...
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SubjectTerms	Adaptive control Adaptive systems Algorithms Backstepping backstepping algorithm Closed loop systems Convergence Feedback control Fuzzy control Fuzzy logic fuzzy logic control Fuzzy systems Lyapunov methods Nonlinear control Nonlinear systems practical fixed-time control Tracking control Tracking errors
Title	Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems
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