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Natural Frequency (
ω):- The point where the system tends to oscillate.
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Damping Ratio (
ζ):- Describes how rapidly the oscillations decay from one bounce to the next.
ON OCTAVE:
[Wn, zeta] = damp(sys)>> GENERAL FORMAT <<
>> VISUALLY EXAMPLE <<
ζ = 0
- If the ratio is zero, that indicates there is no damping present and as such the system will oscillate forever (oscillations are the natural frequency response). A system with ratio between 0 & 1 has some amount of damping and accordingly the oscillations will die down slowly or quickly as damping ratio changes from 0 to 1.
ζ = 1
- A system with damping ratio 1 has no overshoots and the quickest rise time.
ζ > 1
- Systems with damping ratio more than 1 are overdamped i.e. such systems have more than desired damping (friction) that causes the system response to be sluggish.