Natural frequency and damping ratio
damp(sys)
[Wn,zeta]
= damp(sys)
[Wn,zeta,P]
= damp(sys)
damp(
displays
a table of the damping ratio (also called damping factor),
natural frequency, and time constant of the poles of the linear model sys
)sys
.
For a discrete-time model, the table also includes the magnitude of
each pole. Frequencies are expressed in units of the reciprocal of
the TimeUnit
property of sys
.
Time constants are expressed in the same units as the TimeUnit
property
of sys
.
[
returns the natural frequencies, Wn
,zeta
]
= damp(sys
)Wn
,
and damping ratios,zeta
, of the poles of sys
.
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Any linear dynamic system model. |
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Vector containing the natural frequencies of each pole of If |
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Vector containing the damping ratios of each pole of If |
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Vector containing the poles of |
The natural frequency, time constant, and damping ratio of the system poles are defined in the following table:
Continuous Time | Discrete Time with Sample Time Ts | |
---|---|---|
Pole Location |
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|
Equivalent Continuous-Time Pole |
|
|
Natural Frequency |
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|
Damping Ratio |
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|
Time Constant |
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