Exercise 1: Proof the push-through rule Multivariable Connections • Positive/Negative feedback: v(t) y(t) y(s) u(s) = (I#G;(s)G2(s))¯' G;(s) Output. G1(s) z(t) G2(s) v(s) u(s) = (I#G2(s)G1(s))~ Input.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Exercise 1: Proof the push-through rule
Multivariable Connections
• Positive/Negative feedback:
u(t)
v(t)
y(t)
Output.
y(s)
= (I#G;(s)G2(s))¯G;(s)
u(s)
G1(s)
%3D
2(t)
G2(s)
v(s)
u(s)
= (I#G2(s)G1(s))¯
Input.
Transcribed Image Text:Exercise 1: Proof the push-through rule Multivariable Connections • Positive/Negative feedback: u(t) v(t) y(t) Output. y(s) = (I#G;(s)G2(s))¯G;(s) u(s) G1(s) %3D 2(t) G2(s) v(s) u(s) = (I#G2(s)G1(s))¯ Input.
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