Title :
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
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;
Conference_Titel :
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Conference_Location :
Jeju Island
Print_ISBN :
978-1-4244-3596-8
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2009.5277097
