Robust State Feedback Control for a Class of Discrete-Time Fuzzy Systems via Delta Operator Approach

In this paper, the problem of robust state feedback control using delta operator approach for a class of fuzzy uncertain systems with sampling-period dependent time delays is investigated. Based on Lyapunov-Krasovskii functional in delta domain, a new time-delay dependent fuzzy state feedback controller is presented in terms of linear matrix inequalities (LMIs). The proposed method can unify some previous related continuous and discrete fuzzy systems into the fuzzy delta operator systems framework. Numerical examples are given to illustrate the effectiveness of the developed techniques.