Passivity Encoding Representations of Nonlinear Systems

Authors

A. Karsai, T. Breiten, J. Ramme, P. Schulze

Abstract

Passive systems are characterized by their inability to generate energy internally, providing a powerful tool for modeling physical phenomena. In addition, algebraically encoding passivity in the system description can be advantageous. For this, port-Hamiltonian systems are a prominent approach. Another possibility is writing the system in suitable coordinates. In this article, we investigate the equivalence between passivity and the feasibility of passivity encoding representations, thereby elaborating upon existing results for port-Hamiltonian systems. Based on our findings, we present a method to construct port-Hamiltonian representations of a passive system if the dynamics and the Hamiltonian are known.

Citation

• Journal: IEEE Transactions on Automatic Control
• Year: 2025
• Volume: 70
• Issue: 11
• Pages: 7660–7666
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• DOI: 10.1109/tac.2025.3576535

BibTeX

@article{Karsai_2025,
  title={{Passivity Encoding Representations of Nonlinear Systems}},
  volume={70},
  ISSN={2334-3303},
  DOI={10.1109/tac.2025.3576535},
  number={11},
  journal={IEEE Transactions on Automatic Control},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Karsai, A. and Breiten, T. and Ramme, J. and Schulze, P.},
  year={2025},
  pages={7660--7666}
}

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