Linear port-Hamiltonian DAE systems revisited

Authors

Abstract

Port-Hamiltonian systems theory provides a systematic methodology for the modeling, simulation and control of multi-physics systems. The incorporation of algebraic constraints has led to a multitude of definitions of port-Hamiltonian differential–algebraic equations (DAE) systems in the literature. This paper presents extensions of results obtained in Gernandt et al. (2021); Mehrmann and van der Schaft (2023) in the context of maximally monotone structures, and shows that any such structure can be written as the composition of a Dirac and a resistive structure. This yields an alternative, but equivalent, definition of linear port-Hamiltonian DAE systems with certain advantages. In particular, it leads to simpler coordinate representations, as well as to explicit expressions for the associated transfer functions.

Keywords

differential–algebraic equation, dirac structure, lagrange structure, maximally monotone structure, port-hamiltonian system

Citation

Journal: Systems & Control Letters
Year: 2023
Volume: 177
Issue:
Pages: 105564
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2023.105564

BibTeX

@article{van_der_Schaft_2023,
  title={{Linear port-Hamiltonian DAE systems revisited}},
  volume={177},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2023.105564},
  journal={Systems \&amp; Control Letters},
  publisher={Elsevier BV},
  author={van der Schaft, Arjan and Mehrmann, Volker},
  year={2023},
  pages={105564}
}

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References

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