An Asymmetric Lyapunov-Krasovskii Functional Method on Stability and Stabilization for T-S Fuzzy Systems With Time Delay

This article presents a new asymmetric Lyapunov-Krasovskii functional method on the stability and stabilization of Takagi-Sugeno fuzzy systems with time delay. For the reduction of conservativeness, combining the method with the membership-function-dependent approach, we propose a novel delay-depend...

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Veröffentlicht in:IEEE transactions on fuzzy systems 2022-06, Vol.30 (6), p.2135-2140
Hauptverfasser: Sheng, Zhaoliang, Lin, Chong, Chen, Bing, Wang, Qing-Guo
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Sprache:eng
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Zusammenfassung:This article presents a new asymmetric Lyapunov-Krasovskii functional method on the stability and stabilization of Takagi-Sugeno fuzzy systems with time delay. For the reduction of conservativeness, combining the method with the membership-function-dependent approach, we propose a novel delay-dependent stability condition in the form of linear matrix inequalities. Based on the condition, we further obtain a novel condition of stabilization. At the end, we provide two numerical examples to verify the advantage of the stability and stabilization approaches, respectively.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2021.3076512