Question: A unity feedback control system has the following forward transfer function: a. Design a lead compensator to yield a closed-loop step response with 20.5% overshoot

A unity feedback control system has the following forward transfer function:

K G(s) = s2(s + 4)(s + 12)

a. Design a lead compensator to yield a closed-loop step response with 20.5% overshoot and a settling time of 3 seconds. Be sure to specify the value of K.

b. Is your second-order approximation valid?

c. Use MATLAB or any other computer program to simulate and compare the transient response of the compensated system to the predicted transient response.

K G(s) = s2(s + 4)(s + 12)

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