Guaranteed cost control for uncertain 2-D discrete systems with state delay in the Roesser model

This paper is concerned with the problem of guaranteed cost control for uncertain two-dimensional (2-D) state delay systems described by the Roesser model. A sufficient condition for the existence of delay-dependent guaranteed cost controllers is given in terms of a linear matrix inequality (LMI) based on a summation inequality for 2-D discrete systems. A convex optimization problem is proposed to design a state feedback controller stabilizing the 2-D state delay system as well as achieving the least guaranteed cost for the resulting closed-loop system. Finally, the simulation example of thermal processes is given to illustrate the effectiveness of the proposed result.