Delay-dependent Robust H Control for Uncertain Discrete-time Systems with Delay

A delay-dependent robust H_infin control problem for a class of discrete-time linear state-delayed systems with norm-bounded uncertainties is considered. The delay- dependent bound real lemma for systems with a state- delay is first presented in terms of linear matrix inequalities (LMIs). Then, based on the bounded real lemma obtained, delay-dependent condition for the existence of robust H_infin controller is presented. A numerical example is employed to illustrate the feasibility and advantage of the proposed design.