5. Given the unity feedback system as shown below, where G(s) = K (s+1)(s+2)(s+3) Do the following: 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. R(s) G(s) C(s)

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5. Given the unity feedback system as shown below, where
G(s)
=
K
(s+1)(s+2)(s+3)
Do the following:
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.
R(s)
G(s)
C(s)
Transcribed Image Text:5. Given the unity feedback system as shown below, where G(s) = K (s+1)(s+2)(s+3) Do the following: 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. R(s) G(s) C(s)
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