Robust reliable control of uncertain 2D discrete switched systems with state delays
Transactions of the Institute of Measurement and Control
Published online on July 18, 2013
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.