Question 2 To improve the transient performance of the feedback loop discussed in Question 1, you instead choose to impl

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Question 2 To Improve The Transient Performance Of The Feedback Loop Discussed In Question 1 You Instead Choose To Impl 1 (102.43 KiB) Viewed 52 times

Question 2 To improve the transient performance of the feedback loop discussed in Question 1, you instead choose to implement the PI compensator K(s - 2) H(S) = Kp +K1/s = S where K = K, and z = -K1/Kp. a.) Relative to the system poles, there are three possible regions for where the (real) compensator zero can be placed: i. to the left of the plant poles at -2, ii. between the poles at -2 and the origin, and iii. to the right of the origin. Sketch the root locus for each of these three cases. b.) Identify which of the above cases will result in the closed-loop system being unstable for any K > 0. c.) Determine values of Kp and Kj so that the closed-loop transfer function T(s) is an "ideal” second- order system (i.e., no zeros or other poles) with damping ratio V2/2 and the fastest possible settling time. Would you expect better or worse transient response characteristics as compared to the closed-loop system in Question 1 part a?