Variable structure guaranteed cost control for discrete uncertain networked systems with time delay

The problem of variable structure guaranteed cost control for discrete uncertain networked systems with time delay has been considered in this paper. Based on the Lyapunov stability theorem, by introducing a discrete compensator, a novel sliding mode manifold that can compensate time delay has been designed. Then, by using linear matrix inequalities approach, a guaranteed cost controller is designed to make the sliding mode manifold stable. Finally, a numerical example is given to demonstrate the application and effectiveness of the proposed method.