Control systems miscellaneous


  1. The system having the Bode magnitude plot shown in figure has the transfer function—











  1. View Hint View Answer Discuss in Forum

    From the given Bode-plot H(s) has a pole at ω = 0 and ω = 0·05
    and zero at ω = 0·1.
    Hence H(s) can be given as

    H(s) =
    K(s + 0·1)
    s(s + 0·05)

    By plot,
    20 log10 |H(j0·01)| = 60
    or
    |H(j0·01)| = 103 = 1000.
    or
    2K(0·1 + j0·01)
    ∣ = 1000
    j0·01(0·05 + j0·01)

    or
    K × 0·1
    = 1000
    0·01 × 0·05

    or
    K =
    1000 × 0·01 × 0·05
    = 5
    0·1

    Therefore,
    H(s) =
    5(s + 0·1)
    s(s + 0·05)

    Hence alternative (D) is the correct choice.


    Correct Option: D

    From the given Bode-plot H(s) has a pole at ω = 0 and ω = 0·05
    and zero at ω = 0·1.
    Hence H(s) can be given as

    H(s) =
    K(s + 0·1)
    s(s + 0·05)

    By plot,
    20 log10 |H(j0·01)| = 60
    or
    |H(j0·01)| = 103 = 1000.
    or
    2K(0·1 + j0·01)
    ∣ = 1000
    j0·01(0·05 + j0·01)

    or
    K × 0·1
    = 1000
    0·01 × 0·05

    or
    K =
    1000 × 0·01 × 0·05
    = 5
    0·1

    Therefore,
    H(s) =
    5(s + 0·1)
    s(s + 0·05)

    Hence alternative (D) is the correct choice.