Question: Given the unity feedback system shown in Figure P8.3, where do the following problem parts by first making a second-order approximation. After you are finished

Given the unity feedback system shown in Figure P8.3, where

do the following problem parts by first making a second-order approximation. After you are finished with all of the parts, justify your second-order approximation.

a. Sketch the root locus.

b. Find K for 20% overshoot.

c. For K found in Part b, what is the settling time, and what is the peak time?

d. Find the locations of higher-order poles for K found in Part b.

e. Find the range of K for stability.

K G(s) = %3D (s + 1)(s + 2)(s + 3)

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