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For the two feedback systems shown below, (a) Find the closed-loop transfer functions T₁ and T2 for each system, (b) Show that T₁ = T₂ = 100 when K₁ K₂ = 100, and (c) Compare the sensitivities of the two systems with respect to the parameter K₁ for the nominal values of K₁ = K₂ = 100. R(S) R(s) (1) (2) K₁ K₁ 0.09 0.0099 K₂ K₂ 0.09 C(s) C(s)

For the two feedback systems shown below, (a) Find the closed-loop transfer functions T₁ and T2 for each system, (b) Show that T₁ = T₂ = 100 when K₁ K₂ = 100, and (c) Compare the sensitivities of the two systems with respect to the parameter K₁ for the nominal values of K₁ = K₂ = 100. R(S) R(s) (1) (2) K₁ K₁ 0.09 0.0099 K₂ K₂ 0.09 C(s) C(s)

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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For the two feedback systems shown below, (a) Find the closed-loop transfer functions T₁ and T₂ for each system, (b) Show that T₁ = T₂ = 100 when K₁ K₂ = 100, and (c) Compare the sensitivities of the two systems with respect to the parameter K₁ for the nominal values of K₁ = K₂ = 100. R(s) R(s) (1) (2) K₁ K₁ 0.09 0.0099 K₂ K₂ 0.09 C(s) C(s)
Transcribed Image Text:For the two feedback systems shown below, (a) Find the closed-loop transfer functions T₁ and T₂ for each system, (b) Show that T₁ = T₂ = 100 when K₁ K₂ = 100, and (c) Compare the sensitivities of the two systems with respect to the parameter K₁ for the nominal values of K₁ = K₂ = 100. R(s) R(s) (1) (2) K₁ K₁ 0.09 0.0099 K₂ K₂ 0.09 C(s) C(s)
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