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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