Control system miscellaneous

Control system miscellaneous

Easy Questions
Moderate Questions

Control System

Control system miscellaneous
  1. Consider a system shown in the given figure
    U(s) →
    2
    		 → C(s)
    s

    If the system is disturbed so that C(0) = 1, then C (t) for a unit step input will be








  1. View Hint View Answer Discuss in Forum


    The system represent an integrator, therefore, if a step function is applied, we get ramp output. This will be enhanced by the initial value present, i.e. by 1.
    Thus, c (t) = 1 + 2t; t ≥ 0.

    Correct Option: C


    The system represent an integrator, therefore, if a step function is applied, we get ramp output. This will be enhanced by the initial value present, i.e. by 1.
    Thus, c (t) = 1 + 2t; t ≥ 0.

  1. A unity feedback control system has a forward path transfer function equal to
    42.25
    s2(s + 6.5)

    The unit step response of this system starting from rest, will have its maximum value at a time equal to








  1. View Hint View Answer Discuss in Forum

    Step response transform is

    42.25
    		 =
    1
    		 +
    6.5
    		 -
    1
    s2(s + 6.5)s + 6.5s2s

    c (t) = e -6.5t + 6.5 t u (t) – u (t)
    At t → ∞, c (t) → ∞

    Correct Option: D

    Step response transform is

    42.25
    		 =
    1
    		 +
    6.5
    		 -
    1
    s2(s + 6.5)s + 6.5s2s

    c (t) = e -6.5t + 6.5 t u (t) – u (t)
    At t → ∞, c (t) → ∞

  1. The feedback control system shown in the given figure represents a









  1. View Hint View Answer Discuss in Forum

    NA

    Correct Option: D

    NA

  1. Consider a unity feedback control system with open-loop transfer function
    G =
    K
    s(s + 1)

    The steady state error of the system due to a unit step input is








  1. View Hint View Answer Discuss in Forum

    Unity feedback control system is shown as below :

    Steady state error due to unit step.
    Since it is a Type 1 system, hence steady state error of system due to unit step input is zero.

    ∴ ess =
    1
    		 = 0
    1 + Kp

    Correct Option: A

    Unity feedback control system is shown as below :

    Steady state error due to unit step.
    Since it is a Type 1 system, hence steady state error of system due to unit step input is zero.

    ∴ ess =
    1
    		 = 0
    1 + Kp

  1. When the signal flow graph is as shown in the figure, the overall transfer function of the system will be








  1. View Hint View Answer Discuss in Forum

    NA

    Correct Option: B

    NA