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Control system miscellaneous

  1. The open-loop DC gain of a unity negative feedback system with closed-loop transfer function
    s + 4
    is _______.
    s2 + 7s + 13
    1. 9 / 4
    2. 1 / 9
    3. 4 / 5
    4. 4 / 9
Correct Option: D


C(s)
=
G(s)
R(s)1 + G(s) H(s)

G(s)
=
s + 4
1 + G(s)s2 + 7s + 13

1 + G(s)
=
s2 + 7s + 13
G(s)s + 4

1
=
s2 + 6s + 9
G(s)s + 4

G(s) =
s + 4
s2 + 6s + 9

DC gain will occur at ω = 0
|G|DC =
4
9



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