Model Reduction for Fractional-Order Port-Hamiltonian Systems in the Loewner Framework

Authors

Zixi Guan, Rui Chen, Jinhua Zhang, Yiheng Wei

Abstract

This paper addresses the problem of model order reduction for fractional-order port-Hamiltonian systems (FoPHS) within the Loewner framework. Building on the classical Loewner approach, the study extended the framework to incorporate fractional-order dynamics while preserving the port-Hamiltonian structure in reduced-order models. Specifically, the method was adapted to fractional-order systems by employing right- and left-tangential interpolation data, deriving conditions for constructing an interpolant that retains both the fractional-order behavior and the energy-conserving structure. Additionally, a novel interpolation data selection method was proposed, and numerical simulations validated the reduction approach, demonstrating its effectiveness and accuracy in preserving the system’s inherent properties.

Citation

• Journal: 2025 4th Conference on Fully Actuated System Theory and Applications (FASTA)
• Year: 2025
• Volume:
• Issue:
• Pages: 348–353
• Publisher: IEEE
• DOI: 10.1109/fasta65681.2025.11138172

BibTeX

@inproceedings{Guan_2025,
  title={{Model Reduction for Fractional-Order Port-Hamiltonian Systems in the Loewner Framework}},
  DOI={10.1109/fasta65681.2025.11138172},
  booktitle={{2025 4th Conference on Fully Actuated System Theory and Applications (FASTA)}},
  publisher={IEEE},
  author={Guan, Zixi and Chen, Rui and Zhang, Jinhua and Wei, Yiheng},
  year={2025},
  pages={348--353}
}

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