Title: On Dominant poles and model reduction of second order time-delay systems
Authors: Saadvandi, Maryam * ×
Meerbergen, Karl * #
Jarlebring, Elias #
Issue Date: Jan-2012
Publisher: North-Holland
Series Title: Applied Numerical Mathematics vol:62 issue:1 pages:21-34
Abstract: The method known as the dominant pole algorithm (DPA) has previously been successfully
used in combination with model order reduction techniques to approximate standard linear
time-invariant dynamical systems and second order dynamical systems. In this paper, we
show how this approach can be adapted to a class of second order delay systems, which
are large scale nonlinear problems whose transfer functions have an infinite number of
simple poles. Deflation is a very important ingredient for this type of methods. Because
of the nonlinearity, many deflation approaches for linear systems are not applicable. We
therefore propose an alternative technique that essentially removes computed poles from
the system’s input and output vectors. In general, this technique changes the residues, and
hence, modifies the order of dominance of the poles, but we prove that, under certain
conditions, the residues stay near the original residues. The new algorithm is illustrated by
numerical examples.
ISSN: 0168-9274
Publication status: published
KU Leuven publication type: IT
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
* (joint) first author
× corresponding author
# (joint) last author

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