Guaranteed Cost Control For Uncertain Nonlinear Discrete Time 2D Systems With State Delays

In this article, we use the Lyapunov stability theory and linear matrix inequality (LMI) processing method, and researche the guaranteed cost control problem of the nonlinear discrete uncertain 2D system with delays. The main work and achievement is as follows:1. For a given uncertain nonlinear discrete 2D systems with delay, considers the cost controller design problem of the memory-less and memory state feedback. (Memory-less state feedback controller is only rely on the current state, and the Memory state feedback controller is not only dependent on current states of controller, but also relies on a moment before the state, this kind of controller is better, have been widely applied in robust control theory research).Based on linear matrix inequality (LMI) method, gives sufficient conditions which makes controller existing and gives the design method of the controller. the simulation results can prove the effectiveness of the controller.2. For the given uncertain nonlinear discrete 2D systems with delay which adds interference, studys memory-less and memory state feedback guaranteed cost controller with robust H∞ performance, gives a sufficient condition of the existence of the controller and the design method, and transforms it into the linear matrix inequalities, by solving the LMI,we can obtain robust guaranteed cost controller with the minimum cost upper bound, simulation results reflects its effectiveness.