Title :
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
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;
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
DOI :
10.1109/CCDC.2010.5498766
