Abstract
The deadbeat control makes the controlled signal zero in finite time and has been studied for a long time for a discrete-time system. It is reported that the ripples may occur if a discrete-time deadbeat controller is applied to continuous-time systems. To avoid the ripples, Kurosawa and Nobuyama proposed the continuous-deadbeat controller. Nobuyama designed the continuous-deadbeat controller using Youla's Parametrization. He assumed the free parameter as linear combinations of several time delays. Katoh designed the free parameter using one time delay when the plant is stable and its initial condition is zero. He has showed that the input has one discontinuity in its simulations. Kurosawa has designed the continuous deadbeat controller which was calculated using the transfer function from the input to the error signal. This controller can not be applied to the unstable or mon-minimum phase system, because it contains the inverse of the plant. So, in this article, we suggest a new method of the continuous deadbeat control which is an extension of Kurosawa's method. The method can guarantee to achieve the deadbeat settlement for unstable and non-minimal SISO systems with the arbitrary initial conditions. Furthermore it can give continuous input.
