Fuzzy-Model-Based calD -Stability and Nonfragile Control for Discrete-Time Descriptor Systems With Multiple Delays

This paper is concerned with the problems of calD -stability and nonfragile control for a class of discrete-time descriptor Takagi-Sugeno (T-S) fuzzy systems with multiple state delays. calD -stability criteria are proposed to ensure that all the poles of the descriptor T-S fuzzy system are located...

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Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 22; no. 4; pp. 1019 - 1025
Main Authors Li, Fanbiao, Shi, Peng, Wu, Ligang, Zhang, Xian
Format Journal Article
LanguageEnglish
Published 01.08.2014
Subjects
Control systems
Controllers
Criteria
Delay
Disks
Fuzzy systems
Poles
Uncertainty
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Summary:This paper is concerned with the problems of calD -stability and nonfragile control for a class of discrete-time descriptor Takagi-Sugeno (T-S) fuzzy systems with multiple state delays. calD -stability criteria are proposed to ensure that all the poles of the descriptor T-S fuzzy system are located within a disk contained in the unit circle. Furthermore, a sufficient condition is presented such that the closed-loop system is regular, causal, and calD -stable, in spite of parameter uncertainties and multiple state delays. The corresponding solvability conditions for the desired fuzzy-rule-dependent nonfragile controllers are also established. Finally, examples are given to show the effectiveness and advantages of the proposed techniques.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2013.2272647