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Control Systems

Control Systems
Force balancing equation of a dash-pot element is (where, x = displacement)

None of these
 B *x
 B d2x/dt2
 B dx/dt

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Control Systems
The closed loop transfer function of a system is 25/(s² + 25). The settling time of the system is

 25 sec
 ∞ sec
 1 sec
 5 sec

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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
A property of phase lead compensation is that the

 gain margin is reduced.
 rise time of closed loop system is reduced.
 overshoot is increased.
 bandwidth of closed loop system is reduced.

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Control Systems
The transfer function of a phase lead compensator is given by: G(s) = (1 + 3Ts)/(1 + Ts) where T>0. What is the maximum phase shift provided by such a compensator?

 45°
 90°
 60°
 30°

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Control Systems
The optimum values of damping ratio is --------------

 0 to 2
 0.3 to 0.7
 0.9 to 1.1
 0.3 to 5

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