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Control Systems

Control Systems
The unit step response of the system is 1 - e-t(1+t). Which is the system?

 stable
 oscillatory
 critically stable
 unstable

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Control Systems
A unity feedback control system has forward loop transfer function as e-Ts/s(s+1). Its phase value will be zero at frequency ω1. Which of the following equations should be satisfied by ω1?

 Tω1 = tan(ω1)
 ω1 = tan(Tω1)
 Tω1 = cot(ω1)
 ω1 = cot(Tω1)

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Control Systems
The input-output relationship of a linear time invariant continuous time system is given by r(t) = d²c(t)/dt² + 3 dc(t)/dt + 2 c(t) Where r(t) and c(t) are input and output respectively. What is the transfer function of the system equal to?

 2/(s² + s + 2)
 1/(s² + s + 2)
 1/(s² + 3s + 2)
 2/(s² + 3s + 2)

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Control Systems
The characteristic equation has the following roots for over damped stable system?

 -2,-4
 -2,2
 -2±j4
 -2,-2

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Control Systems
The transfer function of a system is given as below, if a = 0.1, then the steady state error to unity ramp input will be

 0.35.
 0.25.
 0.49.
 0.16.

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Control Systems
None of the poles of a linear control system lie in the right half of s plane. For a bounded input, the output of this system

  none of these.
  always bounded.
  could be unbounded.
  tends to zero.

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