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Control Systems

Control Systems
When the system gain is doubled the gain margin becomes?

 1/2 times
 2 times
 Remains unaffected
None of these

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

 critically stable
 oscillatory
 stable
 unstable

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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?

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

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Control Systems
For a lead compensator, the poles lie:

  on LHS before zero.
  on origin.
  on RHS.
  on LHS.

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Control Systems
When writing a transfer function which of the following loops are not valid loops?

 Self loops at input node.
 Self loops at output node.
 Both 1 and 2.
 Neither 1 nor 2.

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Control Systems
The transfer function of the system described by d²/dt²(y(t)) + 3d/dt(y(t)) + 2y(t) = 5u(t) with u(t) as input and y(t) as output is

 (s²+3s+2)/5
 5/(s²+3s+2)
 s(s²+3s+2)/5
 5/s(s²+3s+2)

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