Variable structure control method for discrete-time system

The design of variable structure control(VSC)of uncertain discrete time systems using discrete exponential reaching law is discussed. The reason for the discrete reaching law to cause system chattering is given and an improved discrete reaching law is developed. A grey estimating model is built for the uncertain part and thus values of parameters are obtained. Simulation results are presented to illustrate that the method presented in the paper is feasible and asymptotic stability of the system is ensured.