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

Abstract EN

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.