A quasi-sliding-mode control design method based on discrete time-variant reaching law is considered for
uncertain discrete-time linear systems. The quasi-sliding-mode control system can not only increase the reaching speed of reaching-mode and decrease the reaching time, but also reduce the region of quasi-sliding-mode, improve the dynamic quality, and increase the system robust performance. The undesired chattering of the system states and the control signal with crossing the sliding surface in every successive sampling period are avoided. It is convenient to apply for its simpleness of form. Simulation results show the effectiveness of proposed method.