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Compute the poles of an LTI system
Syntax
p = pole(sys)
Description
pole
computes the poles p of the SISO or MIMO LTI model sys.
Algorithm
For state-space models, the poles are the eigenvalues of the
matrix, or the generalized eigenvalues of
in the descriptor case.
For SISO transfer functions or zero-pole-gain models, the poles are simply the denominator roots (see roots).
For MIMO transfer functions (or zero-pole-gain models), the poles are computed as the union of the poles for each SISO entry. If some columns or rows have a common denominator, the roots of this denominator are counted only once.
Limitations
Multiple poles are numerically sensitive and cannot be computed to high accuracy. A pole
with multiplicity
typically gives rise to a cluster of computed poles distributed on a circle with center
and radius of order
See Also
damp Damping and natural frequency of system poles
esort, dsortSort system poles
pzmapPole-zero map
zeroCompute (transmission) zeros