Control systems miscellaneous


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.