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 jω-axis crossing and the gain, K, at the crossing.
c. Find the real-axis breakaway to two-decimal-place accuracy.
d. Find angles of arrival to the complex zeros.
e. Find the closed-loop zeros.
f. Find the gain, K, for a closed-loop step response with 30% overshoot.
g. Discuss the validity of your second-order 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 Cs K Rs s 2s 3 Where Rs 45 8s2 2s 5 To start lets find the poles and zeros of the transfer function Poles denominator roots s 2 ...View the full answer
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