Sliding mode control of uncertain linear discrete time systems with input delay

The problem of sliding-mode control is investigated for a class of uncertain linear systems with input-delay in discrete time. First, a predictor in discrete time is introduced, which converts the original system with input delay to an equivalent system without the explicit appearance of time delay and makes the control problem solvable. Then, sliding-mode controls are constructed for both systems with and without bounded disturbance. Simulation studies show the effectiveness of the control scheme.