Question: 3. For the following system with G(s) = =2 $2+ 1 and C(s) = Kas + Kp- a. (3 pts) Find an expression for the

3. For the following system with G(s) = =2 $2+ 1 3. For the following system with G(s) = =2 $2+ 1 and C(s) = Kas + Kp- a. (3 pts) Find an expression for the transfer function (s) = () b. (3 pts) Determine a value for Kp such the steady-state value of y(s) is 0.90 in response to r(t) as a unit step input. C. (4 pts) Using the value of Ko found in part(b), determine a value for K. such that the settling time is approximately 8 seconds. d. (5 pts) With the results of part b) and c) for K, and Ka, what would be the approximate percent overshoot of y(t) for a unit step input (t) to the system? r(s) C(S) G(s) y(s)

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