New Relaxed Static Output Feedback Stabilization of T–S Fuzzy Systems with Time-Varying Delays

This paper investigates the imperfect premise matching-based (IPMB) static output feedback (SOF) controller for T–S fuzzy systems with time-varying delays. Firstly, by employing integral inequality techniques, the membership-function-independent fuzzy SOF design methods in terms of LMIs are presente...

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Bibliographic Details
Published inProcesses Vol. 11; no. 1; p. 121
Main Authors Qi, Shunan, Zhou, Kun, Xu, Suan, Gao, Yanfeng
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2023
Subjects
Algorithms
Closed loop systems
Design techniques
Feedback
Fuzzy sets
Fuzzy systems
Matching
Methods
Output feedback
Stabilization
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ISSN2227-9717
2227-9717
DOI10.3390/pr11010121

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Summary:This paper investigates the imperfect premise matching-based (IPMB) static output feedback (SOF) controller for T–S fuzzy systems with time-varying delays. Firstly, by employing integral inequality techniques, the membership-function-independent fuzzy SOF design methods in terms of LMIs are presented based on imperfect premise matching (IPM) strategy. The obtained stabilization conditions do not contain equality constraints, and the output matrices do not have rank constraints. Secondly, some suitable relaxation variables are employed, and more relaxed membership-function-dependent (MFD) stabilization conditions are obtained by considering the local boundary information of membership functions (MFs). Finally, two simulation examples are given to show the progressiveness of the proposed methods in this paper.
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ISSN:2227-9717
2227-9717
DOI:10.3390/pr11010121