Robust reliable control of uncertain 2D discrete switched systems with state delays

Abstract

This paper is concerned with the problem of robust reliable control for a class of uncertain 2D discrete switched systems with state delays and actuator faults represented by a model of Roesser type. The parameter uncertainties are assumed to be norm-bounded. Firstly, based on the average dwell time approach, a delay-dependent sufficient condition for the exponential stability of discrete 2D switched systems with state delays is established in terms of linear matrix inequalities. Then, a reliable state feedback controller is designed to guarantee the exponential stability and reliability for the underlying systems. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach.