Fuzzy Fixed-Time Control for Nonaffine Nonlinear Systems with Unknown Hysteresis Inputs

In this article, the problem of fixed-time adaptive fuzzy control is addressed for a class of nonaffine nonlinear systems subject to unknown backlash-like hysteresis nonlinearities. A command filter-based adaptive fuzzy fixed-time control strategy is presented via combining the backstepping framewor...

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Bibliographic Details
Published in:International journal of fuzzy systems Vol. 25; no. 8; pp. 3036 - 3048
Main Authors: Li, Yan, Zhao, Xuan
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2023
Springer Nature B.V
Subjects:
Adaptive control
Algorithms
Artificial Intelligence
Closed loops
Computational Intelligence
Control systems design
Control theory
Controllers
Engineering
Error compensation
Feedback control
Fuzzy control
Fuzzy logic
Fuzzy systems
Hysteresis
Management Science
Nonlinear control
Nonlinear systems
Nonlinearity
Operations Research
Tracking errors
Command filter technique
Nonaffine nonlinear system
Adaptive fuzzy control
Backlash-like hysteresis
Fixed-time control
ISSN:1562-2479, 2199-3211
Online Access:Get full text
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Summary:In this article, the problem of fixed-time adaptive fuzzy control is addressed for a class of nonaffine nonlinear systems subject to unknown backlash-like hysteresis nonlinearities. A command filter-based adaptive fuzzy fixed-time control strategy is presented via combining the backstepping framework with fixed-time control theory. The packaged unknown nonlinearities appeared in the controller design process are estimated by adopting fuzzy logic systems. At the same time, the “explosion of complex” difficulty occurred in conventional backstepping algorithm is eliminated by adopting a command filter technique and corresponding error compensation signals are exploited to alleviate the influence of the errors generated by command filters. It is further shown that the developed controller not only guarantees the boundedness of all the closed-loop system signals, but also makes the output tracking error arrive a small neighbor around the origin within a fixed time. Finally, both theoretical analysis and simulation research are carried out to further test the feasibility of the presented methodology.
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ISSN:1562-2479
2199-3211
DOI:10.1007/s40815-023-01556-4