ROBUST $H_{infty}$ CONTROL FOR T–S TIME-VARYING DELAY SYSTEMS WITH NORM BOUNDED UNCERTAINTY BASED ON LMI APPROACH

Abstract

In this paper we consider the problem of delay-dependent robust<br />H1 control for uncertain fuzzy systems with time-varying delay. The Takagi–<br />Sugeno (T–S) fuzzy model is used to describe such systems. Time-delay is<br />assumed to have lower and upper bounds. Based on the Lyapunov-Krasovskii<br />functional method, a sufficient condition for the existence of a robust $H_{infty}$<br />controller is obtained. The fuzzy state feedback gains are derived by solving<br />pertinent LMIs. The proposed method can avoid restrictions on the derivative<br />of the time-varying delay assumed in previous works. The effectiveness of our<br />method is demonstrated by a numerical example.