Stabilization of 2D discrete switched systems with state delays under asynchronous switching

Abstract

This paper is concerned with the problem of robust stabilization for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type, where the switching instants of the controller experience delays with respect to those of the system, and the parameter uncertainties are assumed to be norm-bounded. A state feedback controller is proposed to guarantee exponential stability for such 2D discrete switched systems, and the dwell time approach is utilized for the stability analysis and controller design. A numerical example is given to illustrate the effectiveness of the proposed method.