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Control Systems

Control Systems
The amplitude spectrum of a Gaussian pulse is

 A sine function.
 Impulse function.
 Uniform.
 Gaussian.

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Control Systems
Find the Laplace transform for sinωt?

 1/s²
 s/(s²+ω²)
 ω/(s²+ω²)
 1/s

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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
The characteristic equation of a control system is given below: The system is

 unstable
 stable
 critical stable
 marginally stable

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Control Systems
To achieve the optimum transient response, the indicating instruments are so designed as to

 provide damping which is slightly more than the critical value.
 be critically damped.
 provide damping which is slightly less than the critical value.
 be undamped.

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

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