DELAY-DEPENDENT ROBUST STABILIZATION AND $H_{\infty}$ CONTROL FOR UNCERTAIN STOCHASTIC T-S FUZZYSYSTEMS WITH MULTIPLE TIME DELAYS

In this paper, the problems of robust stabilization and $H_{\infty}$ control for uncertain stochastic systems with multiple time delays represented by the Takagi-Sugeno (T-S) fuzzy model have been studied. By constructing a new Lyapunov-Krasovskii functional (LKF) and using the bounding techniques, sufficient conditions for the delay-dependent robust stabilization and $H_{\infty}$ control scheme are presented in terms of linear matrix inequalities (LMIs). By solving these LMIs, a desired fuzzy controller can be obtained which can be easily calculated by Matlab LMI control toolbox. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.