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Consider the transfer function H(S) for the system represented in the figure below. X Kp H(S) = Ky H(S) 1 S (S+0.1) (S+2) S Y 1- Use second order approximation (dominant poles) to determine, analytically, a value for Kp and Kv so that the unit step response of the system has the following specifications: settling time, Ts, 1 second maximum percent overshoot, 8 < 5% and ess < .01 2- Use matlab-Simulink to verify the correctness of the values of Kp and Kv you obtained in step-1. Report both step responses from design and from manual tuning and comment on the discrepancies if there are any. You may adjust, if you want, the value of the parameters manually to satisfy the above performance criteria and report the result