Delay-derivative-dependent stability conditions for uncertain T-S fuzzy systems with interval time-varying delay

This paper considers the problem of stability analysis of uncertain T-S fuzzy systems with interval time-varying delay. The system uncertainties are assumed to be time-varying and norm-bounded. Some new delay-derivative-dependent stability conditions are derived by constructing a novel delay-depende...

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Bibliographic Details
Main Authors: An, Ji-yao, Xia, Xian-zhong, Li, Ren-fa
Format: Conference Proceeding
Language:English
Subjects:
Delays
Fuzzy systems
Linear matrix inequalities
LMI
Lyapunov-Krasovskii Functional (LKF)
Numerical stability
Stability
Stability criteria
T-S fuzzy systems
Time-varying systems
Uncertain systems
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Summary:This paper considers the problem of stability analysis of uncertain T-S fuzzy systems with interval time-varying delay. The system uncertainties are assumed to be time-varying and norm-bounded. Some new delay-derivative-dependent stability conditions are derived by constructing a novel delay-dependent Lyapunov-Krasovskii functional and estimating a tighter upper bound of its time derivative without ignoring some useful terms and involving any direct approximation. The proposed approach leads to some less conservative LMI conditions as shown through some numerical examples.
ISSN:2161-2927