In this thesis, a quasi-sliding mode controller for discrete-time linear system with delay input and disturbance is proposed. By using the method of state transformation, a system with the input delay and disturbance delay is transformed to a delay free system. Based on Lyapunov stability theorem , a quasi-sliding mode controller is designed to ensure the system state trajectories were stable to remain in a small band around the desired sliding surface. Finally, two illustrative examples are provided to demonstrate the effectiveness of the proposed controller.