Problem 1 Find the closed-loop transfer function of the following system usign SFGs R(S) G₁(s) H₁(s) G4(s) G₂(s) Y(s) • First set N = 0, find the transfer function of R(s) G3(s) H₂(s) + + + N(s) Y(s) Secondly set R = 0 and find the transfer function of Y(s) N (s) ● Express Y(s) in terms of R(s) and N(s) when both inputs are applied simultaneously • Find the desired relation among the transfer functions G₁ (s), G₂ (s), G3(s), G4(s), H₁(s), and H₂(s) so that the output Y(s) is not affected by the disturbance signal N(s) at all

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Problem 1
Find the closed-loop transfer function of the following system usign SFGs
R(S)
G₁(s)
H₁(s)
G4(s)
G₂(s)
• First set N = 0, find the transfer function of
Y(s)
R(S)
G3(s)
H₂(s)
+
+
N(s)
Y(s)
. Secondly set R = 0 and find the transfer function of
Y(s)
N (s)
● Express Y(s) in terms of R(s) and N(s) when both inputs are applied simultaneously
• Find the desired relation among the transfer functions G₁ (s), G₂ (s), G3(s), G4(s), H₁(s),
and H₂(s) so that the output Y(s) is not affected by the disturbance signal N(s) at
all.
Transcribed Image Text:Problem 1 Find the closed-loop transfer function of the following system usign SFGs R(S) G₁(s) H₁(s) G4(s) G₂(s) • First set N = 0, find the transfer function of Y(s) R(S) G3(s) H₂(s) + + N(s) Y(s) . Secondly set R = 0 and find the transfer function of Y(s) N (s) ● Express Y(s) in terms of R(s) and N(s) when both inputs are applied simultaneously • Find the desired relation among the transfer functions G₁ (s), G₂ (s), G3(s), G4(s), H₁(s), and H₂(s) so that the output Y(s) is not affected by the disturbance signal N(s) at all.
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