A sliding mode control measure based multiple output feedback technical for discrete system with time-delays

In this note, a measure that the original discrete uncertain system with time-delays is simplified to a discrete uncertain system without time-delays is introduced, and the lacks of usual measures are given, then a new reaching law is designed and an algorithm using the reaching law and multiple output feedback technical is presented for the discrete system; It is shown that the system trajectory using new control law not only can decreasingly approach to zero for certain system but also the control law of uncertain system based on the new algorithm is more simple than using the usual measure. Effectiveness of the proposed control method is demonstrated by simulation.