Title :
H∞ control for continuous-time T-S fuzzy systems using fuzzy Lyapunov functions approach
Author :
Chang, Xiao-Heng ; Yang, Guang-hong
Author_Institution :
Coll. of Inf. Sci. & Eng., Bohai Univ., Jinzhou
Abstract :
This paper is concerned with the problem of Hinfin control for continuous-time Takagi-Sugeno (T-S) fuzzy systems. By a fuzzy Lyapunov function, a new sufficient condition guaranteeing the Hinfin performance of the T-S fuzzy systems is derived. By variable reduction lemma, the local state feedback gains are constructed, and the condition is expressed by a set of linear matrix inequalities (LMIs). The simulation results illustrate the effectiveness of the proposed approach.
Keywords :
Hinfin control; Lyapunov methods; continuous time systems; fuzzy set theory; linear matrix inequalities; state feedback; Hinfin control; continuous-time Takagi-Sugeno fuzzy systems; fuzzy Lyapunov functions; linear matrix inequalities; local state feedback gains; variable reduction lemma; Control systems; Educational institutions; Fuzzy control; Fuzzy systems; Information science; Lyapunov method; Stability; Sufficient conditions; Symmetric matrices; Takagi-Sugeno model; Fuzzy Lyapunov Functions Approach; H∞ control; Takagi-Sugeno (T-S) fuzzy systems;
Conference_Titel :
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-1733-9
Electronic_ISBN :
978-1-4244-1734-6
DOI :
10.1109/CCDC.2008.4597689