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Control systems miscellaneous

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Control systems miscellaneous
  1. The transfer function C (s)/ R (s) of the system, whose block diagram is given below is—


    1. G1G2
      1 + G1H1+G2H2 - G1G2H1H2
    2. G1G2
      1 + G1H1+G2H2 + G1G2H1H2
    3. G1G2
      1 + G1H1+G2H2
    4. G1(1 + G2H2) + G2(1 + G1H1)
      1 + G1H1+G2H2 + G1G2H1H2
Correct Option: B

Here in the given block diagram there are two loop, on simplifying, we get

C(s)
 =
G1·G2
R(s)(1 + G1H1) (1 + G2H2)

=
G1·G2
1 + G1H1 + G2H2 + G1G2H1H2


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