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Control Systems

Control Systems
Open loop transfer function,

 all pass filter.
 band stop filter.
 band reject filter.
None of these

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

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Control Systems
The phase of lead compensator of the system G ( s ) = ( s + a ) / ( s + b ) is at its maximum at:

  ab.
  a / b.
  √( ab ).
 √( a / b).

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Control Systems
Time constant is defined as the time taken by the response of the system to reach ----------- ?

 50% of the final value
 70.7% of the final value
 63% of the final value
 100% of the final value

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Control Systems
A linear time invariant system, initially at rest when subjected to a unit step input gave response c(t) = te-t (t ≥ 0). The transfer function of the system is

 (s+1)2/s
 1/s(s+1)2
 s/(s+1)
 s/(s+1)2

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Control Systems
Which of the following is the analogous quantity for mass element in force-voltage analogy?

 Capacitance.
 Inductance.
All of these
 Resistance.

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