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Control Systems

Control Systems
Find the Laplace transform for sinωt?

 1/s
 1/s²
 ω/(s²+ω²)
 s/(s²+ω²)

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Control Systems
The transfer function of the system described by d²/dt²(y(t)) + 3d/dt(y(t)) + 2y(t) = 5u(t) with u(t) as input and y(t) as output is

 (s²+3s+2)/5
 5/(s²+3s+2)
 5/s(s²+3s+2)
 s(s²+3s+2)/5

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Control Systems
Transient response is improved in case of

 lag network.
 lead network.
 none of these.
 both A and B.

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Control Systems
The unit impulse response of second order system is 1/6 * e-0.8t sin(0.6t). THen the natural frequency is

 0.8 rad/s
 0.6 rad/s
 1 rad/s
 2 rad/s

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Control Systems
The phase of lead compensator of the system G ( s ) = ( s + a ) / ( s + b ) is at its maximum at:

  ab.
 √( a / b).
  √( ab ).
  a / b.

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Control Systems
None of the poles of a linear control system lie in the right half of s plane. For a bounded input, the output of this system

  always bounded.
  none of these.
  could be unbounded.
  tends to zero.

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