3. In this problem, use the two closed loop systems given in the figure to answer the questions below. R(S) K₁ 0.0099 K₂ Y(s) R(S) K₁ h S(s) = 0.09 K₂ = 0.09 (a) Show that these two systems have the same transfer function for K₁ K2 = 100 (b) Using the definition of sensitivity, S(s), for each system calculate the sensitivity to the parameter K₁ with K₁ and K2 as variables. Recall: Y(s) Ga G OG Ga (c) Substitute K₁ = K2 = 100 into each S(s) and compare the sensitivities to parameter K₁.
3. In this problem, use the two closed loop systems given in the figure to answer the questions below. R(S) K₁ 0.0099 K₂ Y(s) R(S) K₁ h S(s) = 0.09 K₂ = 0.09 (a) Show that these two systems have the same transfer function for K₁ K2 = 100 (b) Using the definition of sensitivity, S(s), for each system calculate the sensitivity to the parameter K₁ with K₁ and K2 as variables. Recall: Y(s) Ga G OG Ga (c) Substitute K₁ = K2 = 100 into each S(s) and compare the sensitivities to parameter K₁.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
![3. In this problem, use the two closed loop systems given in the figure to answer the questions below.
4
R(s)
K₁
0.0099
In thin
K₂
Y(s)
R(s)
K₁
4
S(s) =
0.09
K₂
0.09
(a) Show that these two systems have the same transfer function for K₁ = K₂ = 100
(b) Using the definition of sensitivity, S(s), for each system calculate the sensitivity to the parameter
K₁ with K₁ and K₂ as variables. Recall:
Y(s)
OG G
OG Gal
(c) Substitute K₁ = K₂ = 100 into each S(s) and compare the sensitivities to parameter K₁.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F039a60fe-dd38-428e-9354-7737a674ad7d%2Ff280368f-c785-4b3c-acb2-14d091b6cedd%2Fo1p3j9s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. In this problem, use the two closed loop systems given in the figure to answer the questions below.
4
R(s)
K₁
0.0099
In thin
K₂
Y(s)
R(s)
K₁
4
S(s) =
0.09
K₂
0.09
(a) Show that these two systems have the same transfer function for K₁ = K₂ = 100
(b) Using the definition of sensitivity, S(s), for each system calculate the sensitivity to the parameter
K₁ with K₁ and K₂ as variables. Recall:
Y(s)
OG G
OG Gal
(c) Substitute K₁ = K₂ = 100 into each S(s) and compare the sensitivities to parameter K₁.
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