Robust passive control for uncertain discrete-time Fuzzy systems with time-varying delays via filtering design

This paper considers the problem of Robust passive control for uncertain discrete-time Fuzzy systems with time-varying delays via filtering design investigated The uncertainties we investigate in this paper are norm-bounded.The problem is the design of a stable filter and a prescribed passive performance of the filtering error system for all admissible uncertainties. Based on the Lyapunov-Krasovskii functional approach, a sufficient condition for the solvability of this problem is presented in terms of linear matrix inequalities (LMIs).A numerical example is given to illustrate the effectiveness of the proposed method.