Title of Paper:NEW RELAXED STABILIZATION CONDITIONS FOR FUZZY CONTROL SYSTEMS

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Date of Publication:2009-05-01

Journal:INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL

Included Journals:SCIE、Scopus

Volume:5

Issue:5

Page Number:1451-1460

ISSN No.:1349-4198

Key Words:Takagi-Sugeno's fuzzy model; Polynomial matrix function; Nonquadratic Lyapunov function; Feedback controller; Linear matrix inequality

Abstract:The purpose of this paper is to study the stability of discrete-time and continuous-time fuzzy systems with Takagi-Sugeno's models. First, a homogeneous polynomial matrix function is proposed, then by applying the homogeneous polynomial matrix function to the controller and Lyapunov function, some new conditions are obtained. It is shown that as the degree of the the homogeneous polynomial matrix function increases the conditions become less conservative. Numerical examples are included for illustration and comparison.