Observer design of discrete-time impulsive switched nonlinear systems with time-varying delays

This paper investigates the problem of observer design for discrete-time impulsive switched nonlinear systems with time-varying delays. Firstly, based on the average dwell time approach and the Lyapunov-Krasovskii functional technique, a delay-dependent exponential stability criterion for the discrete-time impulsive switched nonlinear systems with time-varying delays is derived in terms of a set of linear matrix inequalities (LMIs). Then, sufficient conditions for the existence of an observer that guarantees the exponential stability of the corresponding error system are proposed. Finally, two numerical examples are given to illustrate the effectiveness of the proposed method.