Problem 4: (%25) Consider the following control system. R(s) K 2s+1 Kh C(s) a) Obtain the...

Transcribed Image Text:

Problem 4: (%25) Consider the following control system. R(s) K 2s+1 Kh C(s) a) Obtain the closed loop transfer function C(s)/R(s). b) Determine the gains K and K such that the closed-loop system has a damping ratio of 5=1/2 and has an undamped natural frequency of w = 22 rad/s. c) Obtain the step response of the closed loop system, that is, obtain c(t) for r(t) = 1. Problem 4: (%25) Consider the following control system. R(s) K 2s+1 Kh C(s) a) Obtain the closed loop transfer function C(s)/R(s). b) Determine the gains K and K such that the closed-loop system has a damping ratio of 5=1/2 and has an undamped natural frequency of w = 22 rad/s. c) Obtain the step response of the closed loop system, that is, obtain c(t) for r(t) = 1.