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Control Systems

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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Control Systems
Settling time for 5% tolerance band is -------------

 5T.
 3T.
 4T.
 2T.

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Control Systems
A second order control system has a transfer function 16/(s² + 4s + 16). Find the settling time for 2% tolerance?

 2 sec
 4 sec
 10 sec
 5 sec

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Control Systems
The magnitude condition for root locus is ..................

 |G(s)H(s)| = 0
 |G(s)H(s)| = 2
 |G(s)H(s)| = 1
 |G(s)H(s)| = ∞

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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?

 60°
 90°
 45°
 30°

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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
 s/(s+1)2
 1/s(s+1)2
 s/(s+1)

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