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Control Systems

Control Systems
The magnitude of a transfer function G(jω)H(jω) at gain cross over frequency is

 infinity
 any of the above
 0
 1

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Control Systems
The transfer function of phase lead compensator is given by , where, T > 0, α < 0. What is the maximum phase shift provided by this compensator?

 both 1 and 3
 tan-1((1 - α)/(2√α)
 sin-1((1 - α)/(1 + α)
 cos-1((1 - α)/(1 + α)

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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?

 30°
 90°
 60°
 45°

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Control Systems
The characteristic equation of a feedback control system is given by s³ + 5s² + (k + 6)s + k = 0. In the root loci diagram, the asymptotes of the root loci for large 'k' meet at a point in the s-plane whose coordinates are

 (-2,0)
 (-1,0)
 (2,0)
 (1,0)

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Control Systems
In a control system, an integrator is represented by

  1 / s.
  s2.
  s.
 1 / s2.

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Control Systems
The impulse response of a linear system is e-t, (t > 0). The corresponding transfer function is

 s/(s+1)
 1/s
 1/(s+1)
 1/s(s+1)

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