State feedback controller design for a kind of nonlinear singularly perturbed system

The feedback stabilization of MIMO nonlinear singularly perturbed systems is considered. A Lyapunov function for the overall system is established through the Lyapunov function of the linear part and that of the zero dynamic and boundary layer. The upper bound expression of ε is given to obtain the condition of asymptotically stability for the system. The simulation results show the effectiveness and feasibility of the controller.