Stability and Stabilization of T-S Fuzzy Systems With Time-Varying Delays via Delay-Product-Type Functional Method.
Autor: Lian, Zhi; He, Yong; Zhang, Chuan-Ke; Wu, Min
Publication year: 2020
IEEE transactions on cybernetics
issn:2168-2275 2168-2267
doi: 10.1109/TCYB.2018.2890425
Abstract:
This paper is concerned with the stability and stabilization problems of T-S fuzzy systems with time-varying delays. The purpose is to develop a new state-feedback controller design method with less conservatism. First, a novel Lyapunov-Krasovskii functional is constructed by combining delay-product-type functional method together with the state vector augmentation. By utilizing Wirtinger-based integral inequality and an extended reciprocally convex matrix inequality, a less conservative delay-dependent stability condition is developed. Then, the corresponding controller design method for the closed-loop delayed fuzzy system is derived based on parallel distributed compensation scheme. Finally, two classic numerical examples are given to show the effectiveness and merits of the proposed approaches.
Language: eng
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Pmid: 30668512
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Link: https://pubmed.ncbi.nlm.nih.gov/30668512/
