AP5.7 Consider the closed-loop system in Figure AP5.7 with transfer functions

(a) Assume that the complex poles dominate, and estimate the settling time and percent overshoot to a unit step input for K = 1, 10, 25, and 50.

(b) Determine the actual settling time and percent overshoot to a unit step for the values of K in part (a).

(c) Co-plot the results of

(a) and

(b) and comment.

FIGURE AP5.7 Closed-loop system with unity feedback. Controller Process R(s) G(s) G(s) Y(s)