Title :
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
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400330
