A method for designing the time response profile of the output of a discrete closed loop system caused by a sudden disturbance that takes the robustness of the system into consideration is proposed. The design is based on Youla parameterization. We express the parameter function Q by the finite series of z-1. As the sensitivity function has no pole other than z=0 when this controller is applied, we obtain finite time settling. We select the coefficients of z-i by taking the robustness into consideration. We applied the proposed finite time settling control to the HDD benchmark.
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