Guaranteed Cost Control for 2-D Uncertain Discrete State-Delayed Systems in Roesser Model Employing Actuator Saturation

This paper is concerned with the design of state-feedback guaranteed cost controller (GCC) for linear two-dimensional (2-D) uncertain discrete delayed systems with actuator saturation (AS). The 2-D system under consideration is represented by the Roesser model. The linear matrix inequality-based conditions for the design of GCC are developed. The proposed method not only ensures that closed-loop system trajectories converge to the origin, but it also provides a satisfactory performance level under all permissible system uncertainties. A convex optimization problem is also formulated for the design of optimal GCC. The GCC design problem for 2-D systems with AS and no delay is also examined. The problem of GCC design for 2-D systems in absence of AS and state delay is also discussed. Several examples are given to illustrate the applicability of the presented results.