Robust and non-fragile guaranteed cost controller design for uncertain systems with distributed delay

The robust and non-fragile guaranteed cost control of uncertain linear systems with distributed delay is investigated.Both the distributed-delay system and the state feedback controller are assumed to have time-varying uncertainties.A sufficient condition in terms of linear matrix inequality is established for the existing of the robust non-fragile guaranteed cost controller by constructing new Lyapunov-Krasovskii functional with triple-integral term and using inequality technique.The proposed approach can keep the quadratic performance function below a supper bound and delay-dependent.Simulation examples show the effectiveness and feasibility of the method.