Discrete-Time Approximations for Port-Hamiltonian Systems and Controllers Using Collocation Methods

Authors

Emilio José Olivares-Labraña, Maximilian Mogler, Laurent Lefévre, Alessandro Macchelli, Yann Le Gorrec, Hector Ramirez

Abstract

This work proposes a time-discretization for nonlinear port-Hamiltonian systems and their controllers using Collocation Methods. First, we provide an overview of port-Hamiltonian systems and present Collocation Methods, detailing their application in deriving discrete-time representations. Next, we propose a time-discretization for controllers using a target system approach. The effectiveness of the proposed methodologies is illustrated through numerical example on a nonlinear port-Hamiltonian system presented by a piezoelectric actuator.

Citation

• Journal: 2025 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies (CHILECON)
• Year: 2025
• Volume:
• Issue:
• Pages: 1–6
• Publisher: IEEE
• DOI: 10.1109/chilecon66915.2025.11475999

BibTeX

@inproceedings{Olivares_Labra_a_2025,
  title={{Discrete-Time Approximations for Port-Hamiltonian Systems and Controllers Using Collocation Methods}},
  DOI={10.1109/chilecon66915.2025.11475999},
  booktitle={{2025 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies (CHILECON)}},
  publisher={IEEE},
  author={Olivares-Labraña, Emilio José and Mogler, Maximilian and Lefévre, Laurent and Macchelli, Alessandro and Gorrec, Yann Le and Ramirez, Hector},
  year={2025},
  pages={1--6}
}

Download the bib file

References

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