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The bandwidth of a control system is the range of frequency over which | C/R (jω)| is greater than or equal to
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1 and it depends only on the undamped natural frequency of the system √2
- 1 and it depends only on the damping factor of the system
- 1 and it depends only on the undamped natural frequency of the system
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1 and it depends on both undamped natural frequency and the damping factor of the system √2
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Correct Option: B
According to the definition, bandwidth of a control system is the range of frequency over which
is greater than or equal to 1/ √2 . Again, bandwidth depends on both – the undamped natural frequency and the damping ratio. For instance, the characteristic equation of a second order system may be expressed as
s2 + 2ξωn s + ωn2 = 0
where ωn is the undamped natural frequency of oscillation and δ is the damping ratio. Also it can be shown that 2ξωn is the bandwidth. Thus the bandwidth is dependent on both ωn and ξ.
