CP5.4 Consider the unit step response of the simple second-order closed-loop control system shown in Figure CP5.4. (a) Determine analytically the damping ratio and

CP5.4 Consider the unit step response of the simple second-order closed-loop control system shown in Figure CP5.4.

(a) Determine analytically the damping ratio ξ and natural frequency ωn of the closed-loop system re

sponse to a unit step input, and the corresponding closed-loop system transfer function.

(b) Develop an m-file to plot the unit step response of the closed-loop system in (a), and estimate the percent overshoot from the plot. Compare the plot with the step response in Figure CP5.4, and discuss the results.