Singular Perturbations for Implicit port-Hamiltonian systems

Authors

Mario Spirito, Bernhard Maschke, Yann Le Gorrec

Abstract

In this work, we present the standard Singular Perturbations technique applied to Implicit port-Hamiltonian systems. The investigation produces a structure-preserving reduced-order model if certain additional passivity conditions are satisfied. Moreover, such an investigation provides a different insight into the standard Singular Perturbations approach relating the negligible time constant parameters \( \varepsilon \) to energy parameters. We analyze the deviation between the complete system model and the reduced one via a Lyapunov-based approach. We then conclude the paper by applying the proposed reduced order model to a DC-motor example to show the effectiveness of the development.

Citation

• Journal: 2024 European Control Conference (ECC)
• Year: 2024
• Volume:
• Issue:
• Pages: 2071–2076
• Publisher: IEEE
• DOI: 10.23919/ecc64448.2024.10590942

BibTeX

@inproceedings{Spirito_2024,
  title={{Singular Perturbations for Implicit port-Hamiltonian systems}},
  DOI={10.23919/ecc64448.2024.10590942},
  booktitle={{2024 European Control Conference (ECC)}},
  publisher={IEEE},
  author={Spirito, Mario and Maschke, Bernhard and Le Gorrec, Yann},
  year={2024},
  pages={2071--2076}
}

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References

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