Design of Sliding Mode Control for Discrete-Time Stochastic Systems with Bounded Disturbances

Abstract

In this chapter, the problem of stochastic sliding mode control (SSMC) systems with bounded disturbances is considered and the corresponding SSMC strategies with complete and incomplete state information in the presence of bounded disturbances is established. Using the Kalman filter, we estimate incomplete state information. Also, a stability analysis of bounded disturbances is established. A simulation example is provided to demonstrate the usefulness of the proposed design method.