Robust H-infinity guaranteed cost Control for a class of nonlinear 2-D time delay discrete systems

In this paper, the robust H_¿ guaranteed cost control problem for nonlinear time delay discrete two dimensional (2-D) systems is investigated, the nonlinear elements of systems satisfies Lipschitze condition, based on the stability theorem and linear matrix inequalities (LMI), firstly a sufficient condition of the controller existence is established, then the solvability of the robust controller designing problem is obtained by the LMI theory. The designed state feedback controller guarantees the closed loop system is stable and impulse free for time delays and disturbance, which has H_¿ performance, last a numerical example is provided to demonstrate the effectiveness of the proposed method.