Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity

R.V. Polyuga, A.J. Schaft, van der

Research output: Contribution to journalArticleAcademicpeer-review

51 Citations (Scopus)

Abstract

Model reduction of port-Hamiltonian systems by means of the Krylov methods is considered, aiming at 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. Keywords: Port-Hamiltonian systems; Model reduction; Krylov methods; Arnoldi method, Lanczos method; Structure preservation; Markov parameters.
Original languageEnglish
Pages (from-to)665-672
Number of pages8
JournalAutomatica
Volume46
Issue number4
DOIs
Publication statusPublished - 2010

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