Physical Switching Systems: From a Network Graph to a Hybrid Port Hamiltonian Formulation

Authors

M. Magos, C. Valentin, B. Maschke

Abstract

this paper presents a systematic method, to obtain the hybrid Hamiltonian formulation of a class of linear switched systems (LSS). The advantages of this formulation are that the state of the switching part is explicit and the equations are directly related to the interconnection constraints and dissipation. The resulting port controlled Hamiltonian representation with dissipation is of course hybrid, including continuous and discrete variables. The network graph of the system gives its Dirac structure which is reduced in successive steps to obtain the Hamiltonian formulation.

Keywords

hybrid systems; non-regular systems; linear switched systems; modelling; dissipation; network graph; Hamiltonian formulation; Dirac structure

Citation

• Journal: IFAC Proceedings Volumes
• Year: 2003
• Volume: 36
• Issue: 6
• Pages: 283–288
• Publisher: Elsevier BV
• DOI: 10.1016/s1474-6670(17)36445-5
• Note: IFAC Conference on Analysis and Design of Hybrid Systems 2003, St Malo, Brittany, France, 16-18 June 2003

BibTeX

@article{Magos_2003,
  title={{Physical Switching Systems: From a Network Graph to a Hybrid Port Hamiltonian Formulation}},
  volume={36},
  ISSN={1474-6670},
  DOI={10.1016/s1474-6670(17)36445-5},
  number={6},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Magos, M. and Valentin, C. and Maschke, B.},
  year={2003},
  pages={283--288}
}

Download the bib file

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