Abstract
In this paper, we propose a design method for the minimal-time deadbeat digital controller with optimal robustness using two-parameter compensation scheme. The whole system is guaranteed to be internally stable, because the disired controller is determined among the class of all stabilizing controllers.
In the case of one-parameter compensation scheme, the robustness optimization is in conflict with the deadbeat steps. So robustness can only be improved at the cost of the increase of deadbeat steps.
In this paper, using two-parameter compensation scheme, the minimization of deadbeat steps and robustness optimization can be carried out separately. The method possesses a feature that the optimal robustness is attained with the minimal-time deadbeat controller.
We also design a robust deadbeat controller among the class of robust tracking controllers. The robust tracking system is the one whose steady-state error is zero whenever internal stability is maintained for the slightly perturbed plant. It is shown that optimal robustness and minimal deadbeat steps are also achived simultaneously for this system.
