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Control Systems

Control Systems
The compensator would provide a maximum phase shift of

 45o.
 20o.
 30o.
 60o.

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Control Systems
If the transfer function of a phase lead compensator is (s+a)/(s+b) and that of a lag compensator is (s+p)/(s+q), then which one of the following sets of conditions must be satisfied?

 a > b, p > q
 a < b, p < q
 a > b, p < q
 a < b, p >q

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Control Systems
The impulse response of an initally relaxed linear system is e-2tu(t). To produce a response of te-2tu(t), the input must be equal to

 (0.5)e-2tu(t).
 e-tu(t).
 e-2tu(t).
 2e-tu(t).

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Control Systems
A system has poles at 0.01 Hz, 1 Hz and 80 Hz; zeros at 5 Hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is

 -180°
 180°
 -90°
 90°

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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?

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

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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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