Delay-dependent H∞ Control for Uncertain 2-D Discrete Systems with State Delay in the Roesser Model

This paper is concerned with the problem of H-infinity control for uncertain two-dimensional (2-D) state delay systems described by the Roesser model. Based on a summation inequality, a sufficient condition to have a delay-dependent H-infinity noise attenuation for this 2-D system is given in terms of linear matrix inequalities (LMIs). A delay-dependent optimal state feedback H-infinity controller is obtained by solving an LMI optimization problem. Finally, a simulation example of thermal processes is given to illustrate the effectiveness of the proposed results.