Consider a standard feedback control system with the following transfer functions:

(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).

--10 -10 Gm= e"0.5a e-0.sa G. s+1 2. 1.5 1.5 Ga s + 1 10s + 1 Gp