A port-Hamiltonian formulation of physical switching systems with varying constraints

Authors

Claire Valentin, Miguel Magos, Bernhard Maschke

Abstract

This paper extends a generic method to design a port-Hamiltonian formulation modeling all geometric interconnection structures of a physical switching system with varying constraints. A non-minimal kernel representation of this family of structures (named Dirac structures) is presented. It is derived from the parameterized incidence matrices which are a mathematical representation of the primal and dual dynamic network graphs associated with the system. This representation has the advantage of making it possible to model complex physical switching systems with varying constraints and to fall within the framework of passivity-based control.

Keywords

Modeling; Port-Hamiltonian systems; Network graph; Family of geometric interconnection structures; Incidence matrix; Energy exchanges

Citation

• Journal: Automatica
• Year: 2007
• Volume: 43
• Issue: 7
• Pages: 1125–1133
• Publisher: Elsevier BV
• DOI: 10.1016/j.automatica.2006.12.022

BibTeX

@article{Valentin_2007,
  title={{A port-Hamiltonian formulation of physical switching systems with varying constraints}},
  volume={43},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2006.12.022},
  number={7},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Valentin, Claire and Magos, Miguel and Maschke, Bernhard},
  year={2007},
  pages={1125--1133}
}

Download the bib file

References

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