TIME VARYING DEADBEAT CONTROLLER DESIGN
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A time varying generalization of the classical deadbeat controller is investigated in the present paper. The natural extension of the time invariant deadbeat condition to the time varying case is presented by utilizing the key developments of the observer/Kalman filter time varying system identification theory reported recently by the authors. In stark contrast to the time invariant deadbeat controller design, it is shown that the time varying deadbeat controller parameters do not follow a recursive relationship that was developed in the past. In the special case of periodic systems, where repeated experimental data is available naturally, it seems that such a controller can be designed to set the output of the closed loop system zero after a few time steps. Numerical simulation examples report the efficacy of the deadbeat controller design method proposed in this paper.