Observer-Based Switching Control for T–S Fuzzy Systems with Mixed Time Delays

This paper considers the control problem of T–S fuzzy systems with mixed time delays. Based on the time derivative data of the membership function of T–S fuzzy systems, fuzzy Lyapunov functions are designed by two methods, and observer-based switching controllers are obtained. One is to design fuzzy...

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Bibliographic Details
Published inInternational journal of fuzzy systems Vol. 25; no. 4; pp. 1480 - 1494
Main Authors Xu, Mingchu, Gu, Jason, Xu, Zhen
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2023
Springer Nature B.V
Subjects
Approximation
Artificial Intelligence
Computational Intelligence
Control systems
Controllers
Engineering
Fuzzy control
Fuzzy systems
Inequality
Liapunov functions
Management Science
Mathematical analysis
Matrices (mathematics)
Operations Research
Switching
Variables
Unmeasurable premise variables
Switching controller
Observer
Mixed time delays
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Summary:This paper considers the control problem of T–S fuzzy systems with mixed time delays. Based on the time derivative data of the membership function of T–S fuzzy systems, fuzzy Lyapunov functions are designed by two methods, and observer-based switching controllers are obtained. One is to design fuzzy Lyapunov functions by loosening the requirement of positive quality of symmetric matrices. The other approach takes the controller’s form into account. First, the form of the system model is adjusted by comparing each state value involved in the system with the state value of the controller. Then, the fuzzy Lyapunov function is designed using the difference value of the comparison. Both of the above observer-based switching controllers can stabilize the system. Examples are provided to demonstrate the effectiveness of the switching controllers proposed in this paper.
ISSN:1562-2479
2199-3211
DOI:10.1007/s40815-022-01447-0