Question: Consider the closed-loop system in Figure AP5.7 with transfer functions Gc(s) = 100/s + 100 and G(s) = K/s(s + 50). where 1000 ¤ K

Consider the closed-loop system in Figure AP5.7 with transfer functions
Gc(s) = 100/s + 100 and G(s) = K/s(s + 50).
where
1000 ‰¤ K ‰¤ 5000.
(a) Assume that the complex poles dominate and estimate the settling time and percent overshoot to a unit step input for K = 1000, 2000, 3000, 4000, and 5000.
(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.

ControllrProcess Ris) FIGURE AP5.7 Closed-loop system with unity feedback.

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