Functional Observer-Based Sliding Mode Control for Discrete-Time Stochastic Systems

Abstract

This chapter presents a new approach to designing a functional observer-based sliding mode control for discrete-time stochastic systems. The functional observer is based on the Kronecker product approach. Existence conditions and stability analysis of the proposed observer are given. The control input is estimated by a novel linear functional observer. This approach leads to a nonswitching type of control, thereby eliminating the fundamental cause of chatter. Furthermore, the functional observer is designed in such a way that the effect of the process and measurement noise is minimised. A simulation example is given to illustrate and validate the proposed design method.