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Stability and Stabilization of T–S Fuzzy Systems With Time-Varying Delays via Delay-Product-Type Functional Method | IEEE Journals & Magazine | IEEE Xplore

Stability and Stabilization of T–S Fuzzy Systems With Time-Varying Delays via Delay-Product-Type Functional Method


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 contro...Show More

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.
Published in: IEEE Transactions on Cybernetics ( Volume: 50, Issue: 6, June 2020)
Page(s): 2580 - 2589
Date of Publication: 15 January 2019

ISSN Information:

PubMed ID: 30668512

Funding Agency:


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