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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,

$$\frac{C(s)}{K(s)} = \frac{\frac{G2.G3.G4}{1+ G3.G4.H2}}{1+ [(\frac{G2.G3.G4}{1+G3.G4.H2})*(\frac{H1}{G4})]}$$

$$\frac{C(s)}{K(s)} = …

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