Consider the feedback control system in Figure CP2.9, where

s+1 G(s) = = 5+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? R(s) + G(s) Y(s) H(s) FIGURE CP2.9 Control system with nonunity feedback.