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Control Systems

Control Systems
Given the Laplace transform of f(t) = F(s), the Laplace transform of (f(t)e-at) is equal to

 eas*F(s)
 F(s)/(s+a)
 F(s+a)
 e-as*F(s)

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Control Systems
The steady state error due to ramp input for a type two system is equal to

 constant.
 zero.
 non zero number.
 infinite.

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Control Systems
A second order system has peak over shoot = 50% and period of oscillations 0.2 seconds. Find the resonant frequency?

 32.16 rad/s
 31.41 rad/s
 29.74 ra/s
 30.63 rad/s

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Control Systems
A linear time invariant system has an impulse response e2t for t > 0 . If initial condition are 0 and input is e3t, the output for t > 0 is

  e3t - e2t.
  e5t.
  e2t + e3t.
  e2t - e3t.

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Control Systems
The initial slope of Bode plot for a transfer function having no poles at the origin is

 -10dB/decade.
 +10dB/decade.
 0 dB/decade
 -20dB/decade.

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Control Systems
Find the Laplace transform for sinωt?

 ω/(s²+ω²)
 s/(s²+ω²)
 1/s²
 1/s

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