3. In this problem, use the two closed loop systems given in the figure to answer the questions below. R(s) Y(s) R(s) Y(S) K, 0.09 0.09 0.0099 (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 caleulate the sensitivity to the parameter K1 with Ki and K2 as variables. Recall: ƏGa G aG Ga S(s) (e) Substitute K1 = K2 = 100 into each S(s) and compare the sensitivities to parameter K1.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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)
Y(s)
R(s)
Y(s)
K,
K,
0.09
0.09
0.0099
(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:
aGa G
aG Ga
S(s)
(e) Substitute K1 = K2 = 100 into cach 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. R(s) Y(s) R(s) Y(s) K, K, 0.09 0.09 0.0099 (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: aGa G aG Ga S(s) (e) Substitute K1 = K2 = 100 into cach S(s) and compare the sensitivities to parameter K1.
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