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Consider the following block diagrams A, B, and C: R(s) R(s) G₁(s) X₂(s) = G₁(s)R(s) G₁(s) G₂(s) G3(s) G₂(s) X₁(s) = R(s)G₁(s) X3(8) = R(S)G3(8) R(S) Input X₁(s) = G₂(s)G₁(s)R(s) X₂(s)-R(s)G₂(8) ± A B E(S) Actuating signal (error) Plant and controller G(s) H(s) C Foodhack Gy(s) C(s)[±G₁ (s) ± G₂(s) ± G3(s)]R(s) C(s) = G3(s)G₂(s)G₁(s)R(s) C(s) Output

Consider the following block diagrams A, B, and C: R(s) R(s) G₁(s) X₂(s) = G₁(s)R(s) G₁(s) G₂(s) G3(s) G₂(s) X₁(s) = R(s)G₁(s) X3(8) = R(S)G3(8) R(S) Input X₁(s) = G₂(s)G₁(s)R(s) X₂(s)-R(s)G₂(8) ± A B E(S) Actuating signal (error) Plant and controller G(s) H(s) C Foodhack Gy(s) C(s)[±G₁ (s) ± G₂(s) ± G3(s)]R(s) C(s) = G3(s)G₂(s)G₁(s)R(s) C(s) Output

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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1. Consider the following block diagrams A, B, and C: R(s) R(S) G₁(s) X₂(s) = G₁(s)R(s) G₁(s) G₂(s) G3(s) G₂(s) X₁(s) = R(S)G₁(s) X₁(s) = G₂(s)G₁(s)R(s) X₂(s) = R(s)G₂(s) R(S) Input X3(s) = R(S)G3(s) A B E(S) Actuating signal (error) Plant and controller G(s) H(s) G3(s) C(s) = [±G₁ (s) ± G₂(s) ± G3(s)]R(s) Feedback C(s) = G3(s)G₂(s)G₁(s)R(s) C(s) Output с a. Indentify the cascaded, parallel, and feedback block diagrams. b. Convert the cascaded, parallel, and feedback block diagrams into signal-flow graphs. c. Find the transfer function C(s)/R(s) for the cascaded, parallel, and feedback forms.
Transcribed Image Text:1. Consider the following block diagrams A, B, and C: R(s) R(S) G₁(s) X₂(s) = G₁(s)R(s) G₁(s) G₂(s) G3(s) G₂(s) X₁(s) = R(S)G₁(s) X₁(s) = G₂(s)G₁(s)R(s) X₂(s) = R(s)G₂(s) R(S) Input X3(s) = R(S)G3(s) A B E(S) Actuating signal (error) Plant and controller G(s) H(s) G3(s) C(s) = [±G₁ (s) ± G₂(s) ± G3(s)]R(s) Feedback C(s) = G3(s)G₂(s)G₁(s)R(s) C(s) Output с a. Indentify the cascaded, parallel, and feedback block diagrams. b. Convert the cascaded, parallel, and feedback block diagrams into signal-flow graphs. c. Find the transfer function C(s)/R(s) for the cascaded, parallel, and feedback forms.
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