Stability Analysis of Time-Varying Delay T-S Fuzzy Systems via Quadratic-Delay-Product Method

The stability of Takagi-Sugeno (T-S) fuzzy systems with time-varying delay is investigated in this article. First of all, a novel Lyapunov-Krasovskii functional (LKF) is proposed by fully utilizing single integral polynomial-delay-product terms and membership-function-dependent matrices, where more...

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Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 31; no. 1; pp. 129 - 137
Main Authors Qiu, Yunfei, Park, Ju H., Hua, Changchun, Wang, Xijuan
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Delay
Delay effects
Delays
Fuzzy systems
Linear matrix inequalities
Linear matrix inequality
Polynomials
quadratic-delay-product method
Stability analysis
Stability criteria
Symmetric matrices
time-varying delay
Time-varying systems
T–S fuzzy systems
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Summary:The stability of Takagi-Sugeno (T-S) fuzzy systems with time-varying delay is investigated in this article. First of all, a novel Lyapunov-Krasovskii functional (LKF) is proposed by fully utilizing single integral polynomial-delay-product terms and membership-function-dependent matrices, where more delay information is considered. Second, by introducing negative integral estimation inequalities and polynomial inequality, the estimation gap of derivatives is further decreased. As consequence, the criterion with less conservatism is presented. Finally, the examples are utilized for verifying the validity of the stability approach.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2022.3182786