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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)
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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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.
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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