Question: Consider the open loop system GH (2)= (z-0.75)(z-1) a) Design a controller that assigns the closed-loop system poles to z = 0.25+ j0.25 and

Consider the open loop system GH (2)= (z-0.75)(z-1) a) Design a controller

Consider the open loop system GH (2)= (z-0.75)(z-1) a) Design a controller that assigns the closed-loop system poles to z = 0.25+ j0.25 and the rest poles to 2 = 0. b) Illustrate reference signal, closed-loop system output and control signal produced by controller via Matlab. c) Design a prefilter so as to eliminate the impacts of the controller zeros. Illustrate the system output via Matlab. d) Compare the results obtained in (b) and (c) via Matlab.

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