(a) Plot the Bode diagram for the transfer function G = GvGpGm.(b) Design a PI c

(a) Plot the Bode diagram for the transfer function G = GvGpGm.(b) Design a PI controller for this process and sketch the asymptotic Bode diagram for the open-loop transfer function GOL = GcG.(c) Analyze the stability of the resulting feedback control system.(d) Suppose that under open-loop conditions a sinusoidal set-point change. ysp(t) = 1.5 sin(0.5t) is introduced. What is the amplitude of the measured output signal ym(t) that is also sinusoidal in nature?(e) Repeat the same analysis for cloed-1oop conditions.(f) Compare and discuss your results of parts (d)and(e).