SOLVED: Consider the feedback control system given below. If the controller is PI with Gc(s) = K(1 20/s):a) Sketch the root locus diagram by hand (please follow all the steps introduced in class).b) Verify the shape of the root locus using MATLAB.c) Select the dominant closed-loop poles that satisfy the design specification of Tp ≤ 0.5 (note that the system does not necessarily satisfy Tp ≤ 0.5, the system formed by the dominant poles only has to satisfy the specification).d) Determine the
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