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Control system miscellaneous

  1. In the following block diagram G1 =
    10
    ; G2 =
    10
    ; H1 = s + 3 and H2 = 1.
    s(s + 1)

    The overall transfer function C/R is given by
    1. 10
      11s2 + 31s + 10
    2. 100
      11s2 + 31s + 100
    3. 100
      11s2 + 31s + 10
    4. 100
      11s2 + 31s

Correct Option: B

Successive block diagram reduction can be

C(s)
=
G1 G2
=
G1 G2
1 + G2 H1
R(s)1 +
G1 G2 H2
1 + G2H1 + G1 G2 H2
1 + G2 H1


=
100
11s2 + 31s + 100



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