Consider the following block diagram R(s) K H₂(s) 1 b) Let H₁ H2 = 1, H3 = K₁, G2 = conditions on the parameters K₁ and 8 G₁(s) H3(s) H₁(s) A(S) G₂(s) a) Simplify the block diagram and obtain the closed loop transfer function T(s) = Y(s)/R(s). 1 -Y(S) = and G₁ Give the necessary and sufficient K leading to the stability of T(s). 8 + 1

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Consider the following block diagram
R(S)-
K
H₂(s)
G₁(s)
H3(s)
H₁(s)
G₂(s)
-Y(S)
a) Simplify the block diagram and obtain the closed loop transfer function T(s) = Y(s)/R(s).
1
1
b) Let H₁ H₂ = 1, H3 = K₁, G₂ =
and G₁
Give the necessary and sufficient
8+1
conditions on the parameters K₁ and K leading to the stability of T(s).
S
Transcribed Image Text:Consider the following block diagram R(S)- K H₂(s) G₁(s) H3(s) H₁(s) G₂(s) -Y(S) a) Simplify the block diagram and obtain the closed loop transfer function T(s) = Y(s)/R(s). 1 1 b) Let H₁ H₂ = 1, H3 = K₁, G₂ = and G₁ Give the necessary and sufficient 8+1 conditions on the parameters K₁ and K leading to the stability of T(s). S
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