Delay-dependent Control Synthesis of Stochastic Takagi-Sugeno Fuzzy Systems with Input Time-Delays

This paper is concerned with the problem of control synthesis of stochastic T-S fuzzy systems with state and input delays. The main purpose is to design a state-feedback fuzzy controller such that the resulting closed-loop system is asymptotically stable in the mean square, which is delay-dependent for state delay and delay-independent for input delay. Those terms containing the delayed fuzzy membership function which are caused by the presence of the input delay are compensated in favor of applying relaxed quadratic stabilization conditions. Furthermore, all the stabilization conditions are presented in terms of linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness and feasibility of the approaches proposed in this paper.