Y(s) R(S) a) The number of forward paths, K b) The Single loop gains Find the transfer function, T(s) c) A d) Ak e) T(s) using Mason's rule

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Y(s)
Find the transfer function, 7(s) = ( using Mason's rule
a) The number of forward paths, K
b) The Single loop gains
c) A
d) Ak
e) T(s)
1₂ 6
R(S) 11 sti
@K= 3
(2) L₁ = ( 3X 5+1)X( 5+2 X (3) = = = 95
L₂= (-5X Sta) (3) = -1552 = 4₂
ⒸA=1 - (L₁+₂) = 1 + 35135+2 + 5+2
|
4₁=4₂=4₂=1
155 -F
ⒸT= Y/₁₂ = P₁A₁¹RA₂-PA₂ = ((+35+2)+(547) + (6))
A
T(s) = trying
to
Simplify
=
5+2 31 Y(s)
Ans.
=4₁
4=
(5+2)(5² +35+2) +15(5+₂) +/55 (5² +35+2)
(5+2) (5²+35+2)
35
P₁ = 5²+35+2
P₁ = (34)(55)(3)
P₁ = (st1X-4)=3/17
1₁=(6)
(5+₂)(5² €38+2) + 95(5+2) + (55(5³²+35+2)
(s+a)(s²+35+2)
-= T(S)
(5+2)(5²+35+2)
(5+2)(5² +35+2)+15(5+2)+155 (5=+35+2)
Transcribed Image Text:Y(s) Find the transfer function, 7(s) = ( using Mason's rule a) The number of forward paths, K b) The Single loop gains c) A d) Ak e) T(s) 1₂ 6 R(S) 11 sti @K= 3 (2) L₁ = ( 3X 5+1)X( 5+2 X (3) = = = 95 L₂= (-5X Sta) (3) = -1552 = 4₂ ⒸA=1 - (L₁+₂) = 1 + 35135+2 + 5+2 | 4₁=4₂=4₂=1 155 -F ⒸT= Y/₁₂ = P₁A₁¹RA₂-PA₂ = ((+35+2)+(547) + (6)) A T(s) = trying to Simplify = 5+2 31 Y(s) Ans. =4₁ 4= (5+2)(5² +35+2) +15(5+₂) +/55 (5² +35+2) (5+2) (5²+35+2) 35 P₁ = 5²+35+2 P₁ = (34)(55)(3) P₁ = (st1X-4)=3/17 1₁=(6) (5+₂)(5² €38+2) + 95(5+2) + (55(5³²+35+2) (s+a)(s²+35+2) -= T(S) (5+2)(5²+35+2) (5+2)(5² +35+2)+15(5+2)+155 (5=+35+2)
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