Consider the feedback control system in Figure CP2.9, where G(s) = s + 1/s + 2 and

Question:

Consider the feedback control system in Figure CP2.9, where
G(s) = s + 1/s + 2 and H(s) = 1/s + 1
(a) Using an m-file, determine the closed-loop transfer function.
(b) Obtain the pole-zero map using the pzmap function. Where are the closed-loop system poles and zeros?
(c) Are there any pole-zero cancellations? If so, use the minreal function to cancel common poles and zeros in the closed-loop transfer function.
(d) Why is it important to cancel common poles and zeros in the transfer function?