Title of Paper:Stabilization for discrete-time fuzzy systems with Takagi-Sugeno's models: reduce the complexity

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Date of Publication:2010-12-01

Journal:SCIENCE CHINA-INFORMATION SCIENCES

Included Journals:SCIE、Scopus

Volume:53

Issue:12

Page Number:2506-2513

ISSN No.:1674-733X

Key Words:Takagi-Sugeno's fuzzy model; non-quadratic Lyapunov function; linear matrix inequality

Abstract:The problem of sate feedback control for discrete-time fuzzy systems with Takagi-Sugeno's models is investigated to reduce the computational burden. A stabilization condition is obtained by applying a new Lyapunov function. It is shown that our new theorem is equivalent to an existing result in guaranteeing the stability of the fuzzy system but consumes less computational time than the latter. The effectiveness and the superiority of the proposed design approach are demonstrated by an example borrowed from the literature.