Design of Sampled-Data Controller of Nonlinear Systems

Abstract

Design of a sampled-data state feedback controller for stabilizing a nonlinear continuous-time plant is studied. The sampled-data state feedback controller is designed based on an approximate discrete time model of the plant and it is able to exponentially stabilize the approximate discrete time model. When the sampled-data controller applies to the continuous time plant, the closed loop system is a hybrid system. This paper gives a sufficient condition under which the sampled-data controller exponentially stabilizes the hybrid system consisting of the continuous-time plant and the sampled-data controller.