Sliding mode controller design for uncertain discrete-time systems based on grey prediction iterative algorithm

This paper concerns the control law design by variable structure control for a kind of uncertain discrete-time systems. Why the chattering shows up for this kind of systems by discrete reaching law is investigated, and then a developed variable structure controller is designed based on grey prediction iterative algorithm. Based on the grey prediction model, the parameter values are obtained. A criterion that the system state reaches the switching hyper plane in limited time is provided. In this paper its novelty is that the arrival time can be shorten by the developed variable structure controller based on grey prediction iterative algorithm. Approaching to the equilibrium state, chattering of the system can be reduced. Extensive simulation results are presented to illustrate the effectiveness by the developed method.