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Control system miscellaneous

  1. The overall transfer function of the system in the given figure is

    1. G
      1 - GH

    2. 2G
      1 - GH

    3. GH
      1 - GH

    4. 2G
      1 - H

Correct Option: B


Y1 = U + X2H
Y2 = U + X1H
and X1 = GY1 = GU + GX2H
X2 = GY2 = GU + GX1H
⇒ Y = X1 + X2 = 2 GU + GH (X1 + X2)
= 2 GU + GHY

⇒ Y =
2GU
1 - GH

Y
=
2G
U1 - GH



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