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Control Systems

Control Systems
Find the Laplace transform for sinωt?

 ω/(s²+ω²)
 1/s
 1/s²
 s/(s²+ω²)

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Control Systems
Consider the following statements for phase lead compensation:

 both 1 and 2
 nether 1 nor 2
 Phase lead compensation shifts the gain crossover frequency to the right
 The maximum phase lag occurs at the arithmetic mean of the two corner frequencies.

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Control Systems
The value of 'a' in to give phase margin = 45o will be

 0.707.
 1.18.
 0.9.
 1.414.

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Control Systems
A second order control system has a transfer function 16/(s² + 4s + 16). What is the time for the first overshoot?

 π/√3 sec
 2π/√3 sec
 π/2√3 sec
 π/4√3 sec

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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?

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

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Control Systems
When the input to a system was with drawn at t = 0, its output was found to decrease exponentially from 1000 units to 500 units in 1.386 sec. The time constant of the system is

 2.000.
 0.693.
 0.500.
 1.386.

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