New Delay-dependent Robust Stability for T-S Fuzzy Systems with Interval Time-varying Delay

In order to alleviate the conservativeness of the robust stability criterion, the delay-dependent stability problem for uncertain T-S fuzzy time-delay systems with interval time-varying delay is to be investigated in this paper. A new Lyapunov-Krasovskii function and a further improved free-weighing...

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Bibliographic Details
Published in2012 Fifth International Joint Conference on Computational Sciences and Optimization pp. 826 - 830
Main Authors Zejian Zhang, Xiaojun Ban, Xianlin Huang, Xiaozhi Gao
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2012
Subjects
Delay
Delay-dependent stability
Fuzzy systems
Linear matrix inequality (LMI)
Robust stability
Stability criteria
T-S fuzzy systems
Time varying systems
Time-varying delay
Upper bound
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ISBN9781467313650
1467313653
DOI10.1109/CSO.2012.186

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Summary:In order to alleviate the conservativeness of the robust stability criterion, the delay-dependent stability problem for uncertain T-S fuzzy time-delay systems with interval time-varying delay is to be investigated in this paper. A new Lyapunov-Krasovskii function and a further improved free-weighing matrix approach are used to analyze the stability. A new less conservative robust stability criterion is obtained. Numerical examples are given to illustrate the less conservativeness and effectiveness of our method.
ISBN:9781467313650
1467313653
DOI:10.1109/CSO.2012.186