# Please provide the solution to all parts of Problem 6.58 (image below) from textbook Feedback Contro

Please provide the solution to all parts of Problem 6.58 (image below) from textbook Feedback Control of Dynamic Systems (7th) Edition. Please solve it in Mathlab.

6.58 Consider a unity-feedback system with G(s) – (6.74) s (s/201 (s2/1002 +0.5s/1001) (a) A lead compensator is introduced with ?-1/5 and a zero at 1/T–20. How must the gain be changed to obtain crossover at wc 31.6 rad/sec, (b) With the lead compensator in place, what is the required value of K for a (c) Place the pole of the lag compensator at 3.16 rad/sec, and determine the and what is the resulting value of Kv? lag compensator that will readjust the gain to a Ky value of 100? zero location that will maintain the crossover frequency at oc -31.6 rad/sec. Plot the compensated frequency response on the same graph. (d) Determine the PM of the compensated design.

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