Passivity and Structure Preserving Order Reduction of Linear Port-Hamiltonian Systems Using Krylov Subspaces
Authors
Thomas Wolf, Boris Lohmann, Rudy Eid, Paul Kotyczka
Abstract
In this paper, a new structure-preserving scheme for the reduction of linear port-Hamiltonian systems with dissipation using Krylov subspaces is presented. It is shown how to choose the projection matrices in order to guarantee the moment matching property and to obtain a passive and thus stable reduced-order model in port-Hamiltonian form. The method is suitable for the reduction of largescale systems as it employs only the well-known Arnoldi algorithm and matrix-vector multiplications to compute the reduced-order model. Afinite element model is reduced to illustrate the new method.
Keywords
Order reduction; Port-Hamiltonian systems; Structure preserving; Moment matching
Citation
- Journal: European Journal of Control
- Year: 2010
- Volume: 16
- Issue: 4
- Pages: 401–406
- Publisher: Elsevier BV
- DOI: 10.3166/ejc.16.401-406
BibTeX
@article{Wolf_2010,
title={{Passivity and Structure Preserving Order Reduction of Linear Port-Hamiltonian Systems Using Krylov Subspaces}},
volume={16},
ISSN={0947-3580},
DOI={10.3166/ejc.16.401-406},
number={4},
journal={European Journal of Control},
publisher={Elsevier BV},
author={Wolf, Thomas and Lohmann, Boris and Eid, Rudy and Kotyczka, Paul},
year={2010},
pages={401--406}
}
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