Families of moment matching based, structure preserving approximations for linear port Hamiltonian systems

Authors

Tudor C. Ionescu, Alessandro Astolfi

Abstract

In this paper we propose a solution to the problem of moment matching with preservation of the port Hamiltonian structure, in the framework of time-domain moment matching. We characterize several families of parameterized port Hamiltonian models that match the moments of a given port Hamiltonian system, at a set of finite interpolation points. We also discuss the problem of Markov parameters matching for linear systems as a moment matching problem for descriptor representations associated with the given system, at zero interpolation points. Solving this problem yields families of parameterized reduced order models that achieve Markov parameter matching. Finally, we apply these results to the port Hamiltonian case, resulting in families of parameterized reduced order port Hamiltonian approximations.

Keywords

Model approximation; Model reduction; Physical models; Markov parameters; System order reduction

Citation

• Journal: Automatica
• Year: 2013
• Volume: 49
• Issue: 8
• Pages: 2424–2434
• Publisher: Elsevier BV
• DOI: 10.1016/j.automatica.2013.05.006

BibTeX

@article{Ionescu_2013,
  title={{Families of moment matching based, structure preserving approximations for linear port Hamiltonian systems}},
  volume={49},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2013.05.006},
  number={8},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Ionescu, Tudor C. and Astolfi, Alessandro},
  year={2013},
  pages={2424--2434}
}

Download the bib file

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