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This paper is concerned with the problem of passive control design for discrete-time Takagi-Sugeno(T-S) fuzzy systems with time delay and disturbance input via delta operator approach. The discrete-timepassive performance index is established in this paper for the control design problem. By constructinga new type ofLyapunov-Krasovskii function (LKF) in delta domain, and utilizing some fuzzy weighingmatrices, a new passive performance condition is proposed for the system under consideration. Based onthe condition, a state-feedback passive controller is designed to guarantee that the resulting closed-loopsystem is very-strictly passive. The existence conditions of the controller can be expressed by linearmatrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the feasibility andeffectiveness of the proposed method.

Control Design for Discrete-Time Fuzzy Systems with Disturbance Inputs via Delta Operator Approach