H∞ control of T-S fuzzy systems using piecewise Lyapunov function based switching fuzzy controller

Author

Chen, Ying-Jen ; Ohtake, Hiroshi ; Tanaka, Kazuo ; Wang, Wen-June ; Wang, Hua O.

Author_Institution

Dept. of Electr. Eng., Nat. Central Univ., Jhongli, Taiwan

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

3087

Lastpage

3092

Abstract

In this study, the piecewise Lyapunov function based switching fuzzy controller is proposed to get a relaxed criterion for the H_∞ control of continuous T-S fuzzy systems. The particle swarm optimization (PSO) algorithm, which is useful for nonlinear optimization problem, is utilized with the LMI tool to get the optimal H_∞ performance due to that some conditions of the criterion are bilinear with the s-procedure parameters. The simulation results have shown the validity of the proposed H_∞ control method.

Keywords

H^∞ control; Lyapunov methods; bilinear systems; continuous systems; fuzzy control; linear matrix inequalities; nonlinear programming; particle swarm optimisation; piecewise linear techniques; time-varying systems; H_∞ control; LMI tool; PSO algorithm; bilinear criterion; continuous T-S fuzzy system; nonlinear optimization; optimal H_∞ performance; particle swarm optimization; piecewise Lyapunov function; relaxed criterion; s-procedure parameter; switching fuzzy controller;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400330

Filename

5400330