Static Output Feedback Control with H∞ performance for 2-D Discrete Systems in Roesser Model

This paper revisits the problem of H∞ static output feedback control of two-dimensional (2-D) discrete systems described by the Roesser model. Based on a Bounded Real Lemma of 2-D Roesser Model and Finsler’s Lemma, a new sufficient condition for H∞ performance analysis of the closed-loop system is first derived and then the static output feedback controller is obtained such that the closed-loop system is asymptotically stable with a guaranteed H∞ disturbance attenuation level. All results are developed in terms of linear matrix inequalitiy (LMI). Finally a numerical example is given to show the effectiveness of the proposed method.