Asked: April 26, 20222022-04-26T17:02:04+00:00 2022-04-26T17:02:04+00:00In: control systems engineering

10. Given the unity-feedback system of Figure P11.1 in the text problems with K (s + 10)(s + 15) do the following: G (s) — s(s + 2)(s + 5)(s + 20) R(s) ++, C(s) G(s) a) Use frequency response methods to determine the value of gain, K, to yield a step response with a 20% overshoot. Make any required second-order approximations. b) Use MATLAB to test your second-order approximation by simulating the system for your designed value of K. Assume a unit step response. Display C(t) and compare the response with the desired specifications

10. Given the unity-feedback system of Figure P11.1 in the text problems with K (s + 10)(s + 15)
do the following:
G (s) — s(s + 2)(s + 5)(s + 20)
R(s) ++, C(s) G(s)
a) Use frequency response methods to determine the value of gain, K, to yield a step response with a 20% overshoot. Make any required second-order approximations. b) Use MATLAB to test your second-order approximation by simulating the system for your designed value of K. Assume a unit step response. Display C(t) and compare the response with the desired specifications