Dirac Structures for a Class of Port-Hamiltonian Systems in Discrete Time

Authors

Alessio Moreschini, Salvatore Monaco, Dorothée Normand-Cyrot

Abstract

This article discusses the Dirac structure and the state-space representation of a class of port-Hamiltonian systems that evolve in discrete time. The characterization of the underlying Dirac structure depends on separating the stored energy associated with the system into two distinct components. Moreover, it is shown that power-preserving interconnection and negative output feedback maintain the port-Hamiltonian structure while increasing the dimension of the Dirac structure. Finally, the proposed approach is illustrated by means of an approximated gravity pendulum model.

Citation

• Journal: IEEE Transactions on Automatic Control
• Year: 2024
• Volume: 69
• Issue: 3
• Pages: 1999–2006
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• DOI: 10.1109/tac.2023.3313327

BibTeX

@article{Moreschini_2024,
  title={{Dirac Structures for a Class of Port-Hamiltonian Systems in Discrete Time}},
  volume={69},
  ISSN={2334-3303},
  DOI={10.1109/tac.2023.3313327},
  number={3},
  journal={IEEE Transactions on Automatic Control},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Moreschini, Alessio and Monaco, Salvatore and Normand-Cyrot, Dorothée},
  year={2024},
  pages={1999--2006}
}

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