Control system miscellaneous

Control system miscellaneous

Easy Questions
Moderate Questions

Control System

Control system miscellaneous
  1. The transfer function
    V2(s)
    		 of the circuit shown below is
    V1(s)









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    By voltage division rule

    v2(s) = R +
    1
    sV1(s)
    1 +
    1
    		 +
    1
    cscs

    v2(s)
    		 = 10 × 103 +
    1
    		 =
    104 + (104 / s)
    100 × 10-6 s
    v1(s)10 × 103 +
    2
    		 104 + 11
    100 × 10-6 s

    v2(s)
    		 =
    (s + 1)
    v1(s)(s + 2)

    Correct Option: D


    By voltage division rule

    v2(s) = R +
    1
    sV1(s)
    1 +
    1
    		 +
    1
    cscs

    v2(s)
    		 = 10 × 103 +
    1
    		 =
    104 + (104 / s)
    100 × 10-6 s
    v1(s)10 × 103 +
    2
    		 104 + 11
    100 × 10-6 s

    v2(s)
    		 =
    (s + 1)
    v1(s)(s + 2)

  1. The impulse response of a system is h(t) = t u(t). For an input u(t – 1), the output is








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    u(t - 1) →
    (t - 1)2
    		u(t - 1)
    2

    Correct Option: C


    u(t - 1) →
    (t - 1)2
    		u(t - 1)
    2

  1. Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system ?








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    Consider option (a) : In which all the poles lie on the left of jω axis which satisfy casual stable LTI system.
    Option (b) : For a stable casual system, there are no restriction for the position of zeroes on s plane.
    Option (c) : text true.
    Option (d) : Roots of characteristic equation are all closed loop poles and they all line on the left side of the jω axis.

    Correct Option: C

    Consider option (a) : In which all the poles lie on the left of jω axis which satisfy casual stable LTI system.
    Option (b) : For a stable casual system, there are no restriction for the position of zeroes on s plane.
    Option (c) : text true.
    Option (d) : Roots of characteristic equation are all closed loop poles and they all line on the left side of the jω axis.

  1. Two systems with impulse responses h1 (t) and h2 (t) are connected in cascade. Then the overall impulse response of the cascaded system is given by








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    Two systems with impulse responses (h1 )(t) and h2 (t) are connected in cascade

    Then the overall impulse response of the Cascaded system in given by convolution h1 (t) and h2 (t)
    Overall Impulse Respone = Convolution of h1 (t), h2 (t)
    = Product of H1 (s), H2 (s)
    Where H1 (s), H2 (s) are transfer function is S domain.

    Correct Option: C

    Two systems with impulse responses (h1 )(t) and h2 (t) are connected in cascade

    Then the overall impulse response of the Cascaded system in given by convolution h1 (t) and h2 (t)
    Overall Impulse Respone = Convolution of h1 (t), h2 (t)
    = Product of H1 (s), H2 (s)
    Where H1 (s), H2 (s) are transfer function is S domain.

  1. A source vs (t) =V cos 100 πt has an internal impedance of (4 + j3) Ω . If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in Ω should be
    (a)
    (b)








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    For max power
    RL = √Rs² + Xs² = √4² + 3² = 5

    Correct Option: C

    For max power
    RL = √Rs² + Xs² = √4² + 3² = 5