Structure Preserving Moment Matching for Port-Hamiltonian Systems: Arnoldi and Lanczos

Rostyslav V. Polyuga*, Arjan van der Schaft

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

19 Citations (Scopus)
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Abstract

Structure preserving model reduction of single-input single-output port-Hamiltonian systems is considered by employing the rational Krylov methods. The rational Arnoldi method is shown to preserve (for the reduced order model) not only a specific number of the moments at an arbitrary point in the complex plane but also the port-Hamiltonian structure. Furthermore, it is shown how the rational Lanczos method applied to a subclass of port-Hamiltonian systems, characterized by an algebraic condition, preserves the port-Hamiltonian structure. In fact, for the same subclass of port-Hamiltonian systems the rational Arnoldi method and the rational Lanczos method turn out to be equivalent in the sense of producing reduced order port-Hamiltonian models with the same transfer function.
Original languageEnglish
Pages (from-to)1458-1462
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume56
Issue number6
DOIs
Publication statusPublished - Jun-2011

Keywords

  • Model order reduction
  • port-Hamiltonian systems
  • rational Krylov methods
  • structure preservation
  • KRYLOV SUBSPACES
  • ORDER REDUCTION
  • PASSIVITY

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