H2 output feedback controller design for discrete-time 2D switched systems

Abstract

This paper investigates the H2 control problem for a class of discrete-time two-dimensional (2D) switched systems represented by a model of Roesser type. By using a multiple Lyapunov function method, sufficient conditions for evaluation of the H2 performance for the 2D switched systems are presented in terms of linear matrix inequalities. Based on the obtained results, an H2 output feedback controller design scheme is developed for the discrete-time 2D switched systems. A numerical example is included to demonstrate the effectiveness of the proposed method.