Relaxed stabilization conditions 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

Firstpage

1276

Lastpage

1281

Abstract

Based on the piecewise Lyapunov function, this study proposes a switching fuzzy controller, which switches depending on the Lyapunov function, to get relaxed stabilization conditions for the continuous T-S fuzzy system. The relaxed conditions are bilinear with the s-procedure parameters, therefore the particle swarm optimization (PSO) algorithm is utilized with the LMI tool to solve the relaxed conditions. Two simulation examples are given to show the relaxation and effectiveness of the proposed method.

Keywords

Lyapunov methods; fuzzy control; particle swarm optimisation; piecewise linear techniques; stability; time-varying systems; T-S fuzzy system; particle swarm optimization algorithm; piecewise Lyapunov function; relaxed stabilization condition; s-procedure parameter; switching fuzzy controller; Bismuth; Control systems; Fuzzy control; Fuzzy sets; Fuzzy systems; Lyapunov method; Mechanical engineering; Particle swarm optimization; Stability; Switches;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on

Conference_Location

Jeju Island

ISSN

1098-7584

Print_ISBN

978-1-4244-3596-8

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2009.5277097

Filename

5277097