Problem 3 8+63 A feedback control system has the structure shown in Fig. 3, where G(s) = Assume that k₁ > 0, k2 > 0 and select the gains k₁ and k2 such that the closed-loop response to a step input is critically damped, and the natural frequency is equal to wn = 94.5 rad. Plot the step response. Answer: k₁ = sec' R(s) k1 G(s) k₂ + Y(s) Figure 3: Feedback control system in Problem 3 k₂ =