For the system shown in Figure P8.11, do the following: a. Sketch the root locus. b. Find
Question:
For the system shown in Figure P8.11, do the following:
a. Sketch the root locus.
b. Find the jωaxis crossing and the gain, K, at the crossing.
c. Find the realaxis breakaway to twodecimalplace accuracy.
d. Find angles of arrival to the complex zeros.
e. Find the closedloop zeros.
f. Find the gain, K, for a closedloop step response with 30% overshoot.
g. Discuss the validity of your secondorder approximation.
Transcribed Image Text:
R(s) + K C(s) (s + 2)(s + 3) 2 4s + 8 (+ 2s + 5) FIGURE P8.11
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To sketch the root locus we need to analyze the given transfer function C s K R s s 2 s 3 Where R s 45 8 s 2 2s 5 To start let s find the poles and zeros of the transfer function Poles denominator roo…View the full answer
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