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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Summary: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.
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ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2019.2959972