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

Author

Chang, Xiao-Heng ; Hong, Liang ; Feng, Yi-Fu

Author_Institution

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

fYear

2010

fDate

26-28 May 2010

Firstpage

2519

Lastpage

2524

Abstract

The problems of relaxed stability conditions and state feedback H_∞ controller designs are studied for continuous-time T-S fuzzy systems using fuzzy Lyapunov functions approach. A new stability conditions are obtained by relaxing the stability conditions derived in previous papers, and a sufficient LMI conditions which guarantee the existence of the state feedback H_∞ controller for T-S fuzzy systems is proposed. Then the solving approach for BLMI is studied based on convex optimization techniques. Finally the effectiveness of the proposed approach is shown through two numerical examples.

Keywords

H^∞ control; Lyapunov methods; continuous time systems; control system synthesis; convex programming; fuzzy control; linear matrix inequalities; state feedback; BLMI; LMI approach; continuous-time T-S fuzzy systems; convex optimization techniques; fuzzy Lyapunov functions; linear matrix inequalities; state feedback H_∞ controller design; Control systems; Design engineering; Electronic mail; Fuzzy control; Fuzzy systems; Information science; Linear matrix inequalities; Lyapunov method; Stability analysis; State feedback; Continuous-time T-S fuzzy systems; Fuzzy Lyapunov functions; H∞; LMI;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498766

Filename

5498766