R(s) O G₁(s) G₂(s) G4(S) G6(s) G3(s) G5(s) H₁(s) G.G. (GGGGGGGGGGGG) 1-GG.H (G₂G+GGGGGG)-GH-GH₂+GGHH₂ GGGGGGGGGGGGGG 1-GG.H(G₂G+GGGGGG)-GH-GH₂+GGHH₂ GGGGG+GGG+GGG+GGG) 1+G₂GH₂(G₂G+G₂G+GGGG)-GH-GH₂-GGHH₂ 1+GG.H. (G.G+G GGGGGGGGGGGGGG.) 6 G₂+G₂ G₂) +G₂H₂+GH-GGHH₂ H3(s) G7(s) H₂(s) C(s)

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
Find the transfer function C(s)/R(s) for the system shown below.
R(s)
G₁(s)
4
G₂(s)
G3(s)
G.G₂(GGGGGGGGGGGG)
1-GG.H(G₂G+G₂G+G₂G+G₂G)-GH-GH₂+GGHH₂
4
2
G4(S) G6(s)
G5(s)
GG,(G,G₂G+GG₂G+ G G₂ G₂+G G₂ G₂)
1-GGH(G₂G+G₂G+G₂G₂+G₂G)-GH-GH₂+GGHH₂
GGGGG+G.G₂G+G₁G₂G+G,G,G)
1+G₂GH,(G,G,+G₂G+G G₂+G₂G)-GH-GH₂-GGHH₂
1
G.G. (G.G.G+G.GG+GGG,+GGG)
1
1+G,G,H,(G,G +G₂G₂+G₂G₁₂+G₂G₂)+GH+GH₂-GGHH₂
H₁(s)
H3(s)
G7(s)
H₂(s)
C(s)
Transcribed Image Text:Find the transfer function C(s)/R(s) for the system shown below. R(s) G₁(s) 4 G₂(s) G3(s) G.G₂(GGGGGGGGGGGG) 1-GG.H(G₂G+G₂G+G₂G+G₂G)-GH-GH₂+GGHH₂ 4 2 G4(S) G6(s) G5(s) GG,(G,G₂G+GG₂G+ G G₂ G₂+G G₂ G₂) 1-GGH(G₂G+G₂G+G₂G₂+G₂G)-GH-GH₂+GGHH₂ GGGGG+G.G₂G+G₁G₂G+G,G,G) 1+G₂GH,(G,G,+G₂G+G G₂+G₂G)-GH-GH₂-GGHH₂ 1 G.G. (G.G.G+G.GG+GGG,+GGG) 1 1+G,G,H,(G,G +G₂G₂+G₂G₁₂+G₂G₂)+GH+GH₂-GGHH₂ H₁(s) H3(s) G7(s) H₂(s) C(s)
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