A unity feedback control system has the following forward transfer function: G(s)=K\s^2(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 to simulate and compare the transient response of the compensated system to the predicted transient response.