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Control Systems

Control Systems
A second order control system has F(jω) = 100/(100 - ω² + 10√2 jω). Find the resonant peak?

 0.707
 1.5
 1
 0.5

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Control Systems
Find the relation of damped natural frequency (ωd)

 (ωn) √(1-1/ζ²)
 (ωn) √(1-4ζ²)
 (ωn) √(1-ζ²)
 (ωn) √(1-2ζ²)

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Control Systems
Which of the following are the disadvantages of a closed loop control system?

 Reduces the overall gain.
 Complex and costly.
All of these
 Oscillatory response.

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Control Systems
Force balancing equation for elastic element (K) is (where, x = displacement)

None of these
 K d2x/dt2
 K *x
 K dx/dt

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Control Systems
The impulse response of an initally relaxed linear system is e-2tu(t). To produce a response of te-2tu(t), the input must be equal to

 e-2tu(t).
 (0.5)e-2tu(t).
 e-tu(t).
 2e-tu(t).

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Control Systems
Find the Laplace transform for sinωt?

 1/s²
 ω/(s²+ω²)
 s/(s²+ω²)
 1/s

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