Control systems miscellaneous


Control systems miscellaneous

  1. A plant has the following transfer function:
    G (s) =
    1
    (s2+ 0·2s + 1)

    For a step input it is required that the response settles to within 2% of its final value. The plant setting time is—









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    Try yourself, approach is same as done in solution

    Correct Option: B

    Try yourself, approach is same as done in solution


  1. Which one of the following is an example of open-loop system?









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    A windscreen is an example of open-loop system.

    Correct Option: A

    A windscreen is an example of open-loop system.



Direction:

where T1 =
1
, T2 =
1
and T3 =
1
ω1ω2ω3

  1. The open-loop transfer function of the given Bode plot is—











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    ● The initial slope is – 20dB/d it means system is type 1.
    ● At ω1 there is – 20dB/d more means there is a pole i.e., 1/(1 + sT1)
    where T1 = 1 ω1
    ● At ω2 there is increase in 20dB/d means a zero i.e., (1 + sT2),
    where T2 = 1/ω2
    ● At ω3 there is – 20dB/d more means there is a pole i.e., 1/(1 + sT3)
    where, T3 = 1/ω3
    Now, the general form of the open-loop transfer function is

    G(s)H(s) =
    K(sT2 + 1)
    s(sT1 + 1)(sT3 + 1)


    Correct Option: A

    ● The initial slope is – 20dB/d it means system is type 1.
    ● At ω1 there is – 20dB/d more means there is a pole i.e., 1/(1 + sT1)
    where T1 = 1 ω1
    ● At ω2 there is increase in 20dB/d means a zero i.e., (1 + sT2),
    where T2 = 1/ω2
    ● At ω3 there is – 20dB/d more means there is a pole i.e., 1/(1 + sT3)
    where, T3 = 1/ω3
    Now, the general form of the open-loop transfer function is

    G(s)H(s) =
    K(sT2 + 1)
    s(sT1 + 1)(sT3 + 1)



  1. The log-magnitude plot of a system is given below.
    The system is a/an—











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    Refer synopsis`

    Correct Option: B

    Refer synopsis`



  1. The transfer function is 1 + 0·5s/1 + s. It represents a—









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    If we plot the pole zero of the given transfer function = 1 + 0·5s/1 + s
    Since, here pole is nearer to the zero. Therefore, the transfer function represents lag network.


    Correct Option: B

    If we plot the pole zero of the given transfer function = 1 + 0·5s/1 + s
    Since, here pole is nearer to the zero. Therefore, the transfer function represents lag network.