Due to the asymptotic Property, deadbeat control can hardly be applied to the continuous time system control. But some delay element method can deal such a problem. Besides delay element nan well-known digital deadbeat control can be used by the aid of some smoothing elements. in this paper, 2nd order smoothing element is used for the smoothing or the digital deadbeat controller. And this element is argumented to the plant and so control problem is to control digitally the argumented system. We simulated this control system using Matlab language and finally apply this algorithm to the rotary inverted pendulum system.