r(t) -) G3 (8) 100 G₂ (s) G4 (8) G₁ (8) y(t) Figure 1: Control system diagram a) Simplify control diagram and find the transfer function G(s) = from input r(t) Y(s) R(s) to output y(t) 3 a+1 = b) Given G₁(s) = 2 + G₂ (s) such that closed loop system is stable. s 5s +1' G3 (S) = 4; và G4 (s) = k. Find value of k

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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r(t)
---)
G3 (8)
100
G₂ (s)
G4 (8)
G₁(s)
y(t)
Figure 1: Control system diagram
a) Simplify control diagram and find the transfer function G(s) = from input r(t)
Y(s)
R(s)
to output y(t)
3
a+1
=
b) Given G₁(s) = 2 + G₂ (s)
such that closed loop system is stable.
s
5s +1'
G3 (s) = 4; và G4 (s) = k. Find value of k
Transcribed Image Text:r(t) ---) G3 (8) 100 G₂ (s) G4 (8) G₁(s) y(t) Figure 1: Control system diagram a) Simplify control diagram and find the transfer function G(s) = from input r(t) Y(s) R(s) to output y(t) 3 a+1 = b) Given G₁(s) = 2 + G₂ (s) such that closed loop system is stable. s 5s +1' G3 (s) = 4; và G4 (s) = k. Find value of k
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