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Using block reducion technique, obtain the transfer function.

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Mumbai University > Electronics Engineering > Sem 4 > Linear Control Systems

Topic : Models for Control System

Difficulty : High

Marks : 10M

1 Answer
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I)

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II) Shifting of take off point after a block

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III) Blocks in series

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IV) Eliminate feedback loop. enter image description here

V) Shifitng take of point after a block

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VI) Blocks in series

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VII) Eliminate feedback loop.

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Now simplify,

C(s)K(s)=G2.G3.G41+G3.G4.H21+[(G2.G3.G41+G3.G4.H2)(H1G4)]

C(s)K(s)=G2.G3.G41+G3.G4.H2+G2.G3.H1

=> VII) Becomes,

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VIII) Blocks in series:

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IX) Eliminate feedback loop and simplify,

C(s)K(s)=G1.G2.G3.G41+G3.G4.H2+G2.G3.H11+[G1.G2.G3.G41+G3.G4.H2+G2.G3.H1][H3+G3.G4.H2.H3G3.G4]

C(s)K(s)=G1.G2.G3.G41+G3.G4.H2+G2.G3.H1+(G1.G2)(H3+G3.G4.H2.H3)

C(s)K(s)=G1.G2.G3.G41+G3.G4.H2+G2.G3.H1+G1.G2.H3+G1.G2.G3.G4.H2.H3)

C(s)K(s)=G1.G2.G3.G41+G3.G4.H2+G2.G3.H1+G2.G3.H3+G1.G2.G3.G4.H2H

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