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Dr. Rostyslav V. Polyuga (TU/e)
| Speaker: |
Dr. Rostyslav V. Polyuga
(TU/e)
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| Date: |
Wednesday May 12, 2010
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| Title: |
Projection methods for structure preserving model reduction
of port-Hamiltonian systems
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Abstract
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Model reduction of
port-Hamiltonian systems by means of the Krylov methods is considered,
aiming at the port-Hamiltonian structure preservation. It is shown how
to employ the Arnoldi method for model reduction in a particular
coordinate system in order to preserve not only a specific number of
the Markov parameters but also the port-Hamiltonian structure for the
reduced order model. Furthermore it is shown how the Lanczos method can
be applied in a structure preserving manner to a subclass of
port-Hamiltonian systems which is characterized by an algebraic
condition. In fact, for the same subclass of port-Hamiltonian systems
the Arnoldi method and the Lanczos method turn out to be equivalent in
the sense of producing reduced order port-Hamiltonian models with the
same transfer function.
The discussion is extended to moment matching at an arbitrary point at
the complex plane. First order optimality conditions with respect to an
H2 system error metric for model reduction of port-Hamiltonian systems
are presented.
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