Consider the DC motor with transfer function 165702.47 G(s) = s2 + 390.2s + 15701 (a) design P, PI, and PID controllers for the DC motor using the Cohen Coon method (10 points). (b) plot the unit step response for the closed-loop systems formed by the designed controllers and DC motor (10 points). (c) compare the closed-loop systems formed by the designed controllers and the DC motor in terms of time-domain specifications (10 points). (d) obtain Bode plots for the closed-loop systems formed by the designed controllers and DC motor (10 points) (e) compare the closed-loop systems formed by the designed controllers and DC motor in terms of frequency-domain specifications (10 points). Consider the DC motor with transfer function 165702.47 G(s) = s2 + 390.2s + 15701 (a) design P, PI, and PID controllers for the DC motor using the Cohen Coon method (10 points). (b) plot the unit step response for the closed-loop systems formed by the designed controllers and DC motor (10 points). (c) compare the closed-loop systems formed by the designed controllers and the DC motor in terms of time-domain specifications (10 points). (d) obtain Bode plots for the closed-loop systems formed by the designed controllers and DC motor (10 points) (e) compare the closed-loop systems formed by the designed controllers and DC motor in terms of frequency-domain specifications (10 points)