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control.matlab.damp — Python Control Systems Library 0.10.2 documentation

control.matlab.damp(sys, doprint=True)[source]

Compute system’s natural frequencies, damping ratios, and poles.

Parameters:

sysStateSpace or TransferFunction

A linear system object.

doprintbool (optional)

If True, print table with values.

Returns:

wnarray

Natural frequency for each system pole.

zetaarray

Damping ratio for each system pole.

polesarray

System pole locations.

Notes

If the system is continuous

wn = abs(poles)

zeta  = -real(poles)/poles

If the system is discrete, the discrete poles are mapped to their equivalent location in the s-plane via

and

wn = abs(s)

zeta = -real(s)/wn

Examples

>>> G = ct.tf([1], [1, 4])
>>> wn, zeta, poles = ct.damp(G)
    Eigenvalue (pole)       Damping     Frequency
                   -4             1             4

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