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

A discrete-time sliding mode control is one of the most prominent robust control techniques for stabilising systems. However, the assumption of full state feedback being available is seldom satisfied in practice. This chapter presents the functional observer-based sliding mode controller (SMC) design for discrete-time stochastic systems with unmatched uncertainty. A disturbance-dependent sliding function method is proposed such that the effect of unmatched uncertainty of the system is minimised. Furthermore, SMC is calculated using the functional observer method. Finally, a simulation example is given to show the effectiveness of the proposed method.

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