Symplectic discretization of Port Controlled Hamiltonian systems

Authors

Laurent Lefevre, Silviu Medianu

Abstract

In this paper, a time-discretization framework is proposed for Port Controlled Hamiltonian (PCH) systems using combined discretization rules for the flows and efforts, which preserves the continuous-time structure. As examples for this formulation, three symplectic time-discretization schemes are presented, using classic discretization rules (implicit/explicit Euler, implicit mid-point and implicit trapezoidal), for the flows and efforts. As continuous-time model for exemplification using this framework, a linear capacitor microphone circuit is selected.

Keywords

symplectic discretization; Port Controlled Hamiltonian systems; discrete-time systems; linear systems; nonlinear systems

Citation

• Journal: IFAC-PapersOnLine
• Year: 2017
• Volume: 50
• Issue: 1
• Pages: 3629–3634
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2017.08.708
• Note: 20th IFAC World Congress

BibTeX

@article{Lefevre_2017,
  title={{Symplectic discretization of Port Controlled Hamiltonian systems}},
  volume={50},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2017.08.708},
  number={1},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Lefevre, Laurent and Medianu, Silviu},
  year={2017},
  pages={3629--3634}
}

Download the bib file

References

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