H∞ filtering design for uncertain discrete-time Takagi-Sugeno fuzzy system with time-varying delays

This paper considers the robust H_infin filtering problem for uncertain discrete-time T-S fuzzy systems with time-varying delays where the variations of the parameters are not random. The uncertainties we investigate in this paper are norm-bounded. The problem is the design of a stable filter and a prescribed H_infin performance of the filtering error system for all admissible uncertainties. Based on the Lyapunov-Krasovskii functional approach and linear matrix inequalities, sufficient conditions for the solvability of this problem are given, and then give an explicit expression of a H_infin filter. Finally, the effectiveness and applicability of our proposed design approach is demonstrated by a numerical example.