Abstract
The continuous deadbeat controller which includes some delay-element has already reported and the finite settling responses can be realized in continuous-time domain. This controller is, however, impractical because it is difficult to construct delay-element.
In this paper, we propose a new design method of an optimal continuous deadbeat controller without using delay-element for the multivariable system. The sequence of the optimal control signal which can minimize the quadratic performance index for the manipulated variable and deviation can be easily obtained from the computation of the matrix described by the step response of the system.
Our new controller is composed of both digital deadbeat compensator which can be designed by using sequence of the control signal and a series smoothing filter of the analog element. Finally, we show a numerical example of the 2 input-2 output system.