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CONTROL SYSTEMS

Control Systems
Which of the following represents the value of resonant frequency (ωr)?

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

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

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

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

 0.5
 1.5
 1
 0.707

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Control Systems
For a second order under damped system subjected to unit step input the time response has first peak value to be 4 times the second over shoot. Determine the damping ratio ξ ?

 0.707
 0.07
 0.087
 0.87

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Control Systems
Find the bandwidth of the system, when rise time of the system is give as 1msec?

 350 Hz
 500 Hz
 750 Hz
 1 kHz

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