control.matlab.damp

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

Compute natural frequencies, damping ratios, and poles of a system.

Parameters

sys (LTI (StateSpace or TransferFunction)) – A linear system object
doprint (bool (optional)) – if True, print table with values

Returns

wn (array) – Natural frequency for each system pole
zeta (array) – Damping ratio for each system pole
poles (array) – System pole locations

See also

pole

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

s = log(poles)/dt

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