Quasi-Sliding Mode Variable Structure Algorithm for Discrete-Time System

In this paper, a new sliding mode variable structure control algorithm of the discrete-time system is presented. Theoretical analysis and simulation results show that the proposed algorithm not only satisfies the existence and accomplished condition of the discrete-time systems, but also has a simple control rule. The trajectory of the system can reach the switching surface rapidly by choosing proper parameters of the control rule and sliding mode function. Further more, the algorithm reduces the reaching time and eliminates system chattering obviously. The dynamic features of the control system are improved effectively.