Generalized port-Hamiltonian DAE systems

Authors

Abstract

Motivated by recent work in this area we expand on a generalization of port-Hamiltonian systems that is obtained by replacing the Hamiltonian function representing energy storage by a Lagrangian subspace. This leads to a new class of algebraic constraints and DAE systems in physical systems modeling. It is shown how Dirac structures and Lagrangian subspaces allow for similar representations, and how this can be exploited to convert algebraic constraints originating from Dirac structures into algebraic constraints corresponding to Lagrangian subspaces, and conversely.

Keywords

algebraic constraint, dae system, dirac structure, lagrangian subspace, port-hamiltonian system

Citation

Journal: Systems & Control Letters
Year: 2018
Volume: 121
Issue:
Pages: 31–37
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2018.09.008

BibTeX

@article{van_der_Schaft_2018,
  title={{Generalized port-Hamiltonian DAE systems}},
  volume={121},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2018.09.008},
  journal={Systems \&amp; Control Letters},
  publisher={Elsevier BV},
  author={van der Schaft, Arjan and Maschke, Bernhard},
  year={2018},
  pages={31--37}
}

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References

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