Continuous-Time Controllers with Deadbeat Characteristics

The control to make the error vanish completely after the finite period of time is called the deadbeat control. This control scheme is considered originally in the discrete-time framework. In the case the reference is continuous-time signal, then the so-called sampled-data systems are widely adopted. However, an entirely different approach to the deadbeat control for the continuous-time references exists. That approach uses the dead-time elements in the controller. We consider such deadbeat control problem in this paper. For a solution to this problem, some researchers proposed the method that use the parametrization of all stabilizing controllers and make the free parameter in them have the dead-time elements. In this paper, we modify this approach, and consider the case that the number of dead-time elements is one. Also, the improvement of the response is shown in a numerical example.