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Control system miscellaneous

  1. The Bode plot of a transfer function G (s) is shown in the figure below.

    The gain (20 log| G(s)|) is 32 dB and – 8 dB at 1 rad/s and 10 rad/s respectively. The phase is negative for all ω. Then G(s) is
    1. 39.8
      s
    2. 39.8
      s2
    3. 32
      s
    4. 32
      s2
Correct Option: B


⇒ 20 log k = 32
k = 101.6 = 39.8
⇒ As slope is – 40db/decade so two pols at ons’m

so , T(s) =
39.8
52



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