Finite-Time Stabilization-Based Adaptive Fuzzy Control Design

This article is aimed at developing a finite-time adaptive fuzzy control strategy for a class of nonlinear strict-feedback systems. For the first time, a fast finite-time practical stability criteria is set up, which provides an effective approach to address the finite-time adaptive fuzzy control de...

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Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 29; no. 8; pp. 2438 - 2443
Main Authors Chen, Bing, Lin, Chong
Format Journal Article
LanguageEnglish
Published New York IEEE 01.08.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptive control
Adaptive fuzzy control
Adaptive systems
backstepping
Control stability
Convergence
Error analysis
Feedback control
finite-time stability
Fuzzy control
Nonlinear systems
Numerical stability
Stability analysis
Stability criteria
Tracking errors
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Summary:This article is aimed at developing a finite-time adaptive fuzzy control strategy for a class of nonlinear strict-feedback systems. For the first time, a fast finite-time practical stability criteria is set up, which provides an effective approach to address the finite-time adaptive fuzzy control design. Furthermore, a systematic finite-time adaptive fuzzy control design procedure is developed by embedding that practical stability criteria. The closed-loop stability analysis shows that the tracking error converges to a small region around the origin in finite time. Meanwhile, all the signals in the closed-loop system are bounded. At last, the presented results are tested by a numerical example.
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ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2020.2991153