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Control Systems

Control Systems
Find the Laplace transform for sinωt?

 1/s²
 s/(s²+ω²)
 1/s
 ω/(s²+ω²)

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Control Systems
The second order system defined by 25/(s2 + 5s + 25) is given a step input. The time taken for the output to settle with in 2 % of input is

 1.2 sec.
 0.4 sec.
 2 sec.
 1.6 sec.

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Control Systems
The system function N(s) = V(s)/I(s) = (s+3)/(4s+5). The system is initially at rest. If the excitation i(t) is a unit step, which of the following is the initial value?

 3/9
 3/5
 0
 1/4

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Control Systems
Which of the following transfer functions represent under damped second order systems?

 1/(s² + s + 1)
 2/(s² + 2s + 2)
 4/(s² + 2s + 4)
All of these

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Control Systems
A transfer function has a zero at s = -1 and poles at s = -1 ± j1. The multiplier being unity, if the input is step function, the steady state response is given by

 0.5∠0°
 0.5∠10°
 1∠0°
 2∠90°

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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

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

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