GATE Questions

  1. A control system is said to be stable if
    1. all the poles of its transfer function lie in the left half of the s-plane
    2. all the poles and zeros of its transfer function lie in the left half of the s-plane
    3. all the poles of its transfer function lie on the imaginary axis
    4. all the poles and zeros of its transfer function lie on the imaginary axis

    Answer: (a)

  2. The root locus of the transfer function G(s)H(s) = K/(s + 1)(s + 2)(s + 3) will have breakaway/break-in points at
    1. −1 and −2
    2. −2 and −3
    3. −1 and −3
    4. None of the above

    Answer: (c)

  3. The transfer function of a system is G(s) = (s + 2)/ (s + 3). The steady-state error of the system due to a unit step input is
    1. 0
    2. 1/3
    3. 2/3
    4. 1

    Answer: (b)

  4. The open-loop transfer function of a unity feedback ...

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