Guaranteed Cost Robust Control for a Class of Uncertain Nonlinear 2-D Time Delay Discrete Systems

To a class of uncertain nonlinear time delay discrete two dimensional (2-D) systems described by the Fomasini-Marchesini second state space model, this paper considers the guaranteed cost robust stabilization, based on the stability theorem and linear matrix inequalities(LMI) A sufficient condition is established, then the solvability of the robust stabilization problem is obtained. The designed state feedback controller guaranteed the closed loop system is stable for all admissible uncertainties and time delays. Last a numerical example is provided to demonstrate the effectiveness of the proposed method.