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Control system miscellaneous

  1. For block diagram shown in the figure,
    C(s)
    is given by
    R(s)

    1. G1 G2 G3
      1 + H2G2G3 + H1G1G2
    2. G1 G2 G3
      1 + G1G2G3H1H2
    3. G1 G2 G3
      1 + G1G2G3H1 + G1G2G3H2
    4. G1 G2 G3
      1 + G1G2G3H1
Correct Option: A

Let output of summer is K (s). Then

K(s) =
C(s)
G2 G3

C(s)
= G1R(s) -
C(s)H1
- C(s)H2
G2 G3G3

⇒ C(s) [1 + H1 G1 G2 + H2 G2 G3 ] = G1 G2 G3 R (s)
C(s)
=
G1 G2 G3
R(s)1 + H2G2G3 + H1G1G2



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