ROBUST $H_{\infty}$ CONTROL FOR T–S TIME-VARYING DELAY SYSTEMS WITH NORM BOUNDED UNCERTAINTY BASED ON LMI APPROACH
نویسندگان
1 Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
2 Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
doi
10.22111/ijfs.2009.214چکیده
In this paper we consider the problem of delay-dependent robustH1 control for uncertain fuzzy systems with time-varying delay. The Takagi–Sugeno (T–S) fuzzy model is used to describe such systems. Time-delay isassumed to have lower and upper bounds. Based on the Lyapunov-Krasovskiifunctional method, a sufficient condition for the existence of a robust $H_{\infty}$controller is obtained. The fuzzy state feedback gains are derived by solvingpertinent LMIs. The proposed method can avoid restrictions on the derivativeof the time-varying delay assumed in previous works. The effectiveness of ourmethod is demonstrated by a numerical example.
