Discrete adaptive sliding-mode control of a class of stochastic systems

This paper presents a discrete adaptive sliding-mode controller for a class of linear systems with coloured noise. The systems are assumed to be minimum phase and the adaptive controller is developed using an input-output model. It is shown that the controller ensures system stability and that the mean-square deviation from the sliding surface is minimized. Simulation results are presented to illustrate the features of the adaptive controller. (C) 1999 Elsevier Science Ltd. All rights reserved.