H∞ control for continuous-time T-S fuzzy systems using fuzzy Lyapunov functions approach

Author

Chang, Xiao-Heng ; Yang, Guang-hong

Author_Institution

Coll. of Inf. Sci. & Eng., Bohai Univ., Jinzhou

fYear

2008

fDate

2-4 July 2008

Firstpage

2066

Lastpage

2070

Abstract

This paper is concerned with the problem of H_infin control for continuous-time Takagi-Sugeno (T-S) fuzzy systems. By a fuzzy Lyapunov function, a new sufficient condition guaranteeing the H_infin performance of the T-S fuzzy systems is derived. By variable reduction lemma, the local state feedback gains are constructed, and the condition is expressed by a set of linear matrix inequalities (LMIs). The simulation results illustrate the effectiveness of the proposed approach.

Keywords

H^infin control; Lyapunov methods; continuous time systems; fuzzy set theory; linear matrix inequalities; state feedback; H_infin control; continuous-time Takagi-Sugeno fuzzy systems; fuzzy Lyapunov functions; linear matrix inequalities; local state feedback gains; variable reduction lemma; Control systems; Educational institutions; Fuzzy control; Fuzzy systems; Information science; Lyapunov method; Stability; Sufficient conditions; Symmetric matrices; Takagi-Sugeno model; Fuzzy Lyapunov Functions Approach; H∞ control; Takagi-Sugeno (T-S) fuzzy systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2008. CCDC 2008. Chinese

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-1733-9

Electronic_ISBN

978-1-4244-1734-6

Type

conf

DOI

10.1109/CCDC.2008.4597689

Filename

4597689