22. For the unity feedback system shown in Figure P8.3, where Enhancer K(s+10)(s+20) (s+30) (s² - 20s + 200) do the following: [Section: 8.7] a. Sketch the root locus. b. Find the range of gain, K, that makes the system stable. c. Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles. d. Find the value of K that yields closed-loop criti- cally damped dominant poles.
22. For the unity feedback system shown in Figure P8.3, where Enhancer K(s+10)(s+20) (s+30) (s² - 20s + 200) do the following: [Section: 8.7] a. Sketch the root locus. b. Find the range of gain, K, that makes the system stable. c. Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles. d. Find the value of K that yields closed-loop criti- cally damped dominant poles.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
![22. For the unity feedback system shown in Figure P8.3,
where
Enhancer K(s+10)(s+20)
(s+30) (s² - 20s + 200)
do the following: [Section: 8.7]
a. Sketch the root locus.
b. Find the range of gain, K, that makes the system
stable.
c. Find the value of K that yields a damping ratio of
0.707 for the system's closed-loop dominant poles.
d. Find the value of K that yields closed-loop criti-
cally damped dominant poles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c177332-f17a-41da-a38d-10cb93645229%2F7df14641-2fb1-49a8-a5ce-f754a6b4ad8f%2Fajzz2pg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:22. For the unity feedback system shown in Figure P8.3,
where
Enhancer K(s+10)(s+20)
(s+30) (s² - 20s + 200)
do the following: [Section: 8.7]
a. Sketch the root locus.
b. Find the range of gain, K, that makes the system
stable.
c. Find the value of K that yields a damping ratio of
0.707 for the system's closed-loop dominant poles.
d. Find the value of K that yields closed-loop criti-
cally damped dominant poles.
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