Robust Stabilization for a Class of Discrete-Time Systems with Delays via Delta Operators Approach

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