Title :
H∞ control for T-S fuzzy systems: LMI approach
Author :
Xiaodong, Liu ; Qingling, Zhang
Author_Institution :
Coll. of Sci., Northeastern Univ., Shenyang, China
Abstract :
In this paper, the problem of H∞ control based on the state feedback for Takagi-Sugeno (T-S) fuzzy systems is studied. First, a new sufficient condition in the form of a single negative definite matrix, which guarantees the existence of the state feedback H∞ control for the T-S fuzzy systems, is proposed. The conditions in this paper are not only simple but also consider the interactions among the subsystems. Next, based on the LMIs, the controller designing methods for the H∞ controller of T-S fuzzy systems are given.
Keywords :
H∞ control; fuzzy control; matrix algebra; stability; state feedback; H∞ control; Takagi-Sugeno systems; linear matrix inequality; quadratic stability; state feedback; sufficient condition; Control systems; Design methodology; Fuzzy systems; Linear feedback control systems; Linear matrix inequalities; Lyapunov method; Mathematics; Physics; State feedback; Sufficient conditions;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1023146
