Sliding Mode State Feedback Control for Uncertain Discrete-Time Markov Jump Systems

Abstract

AbstractThis paper considers the development of a state feedback sliding mode controller for a class of uncertain discrete-time Markov jump systems. A sufficient condition is provided to guarantee the existence of the discrete-time sliding modes in an LMI form. And a sliding mode controller is designed to make the system states convergent to the designed stochastically stable sliding mode and keep a sliding motion. The controller is designed to tolerate the matched uncertainty, which is considered to be a function of the system states and the control inputs. A numerical example is given to illustrate the proposed method.