Linear port-Hamiltonian boundary control models and their equivalence

Authors

Arjan van der Schaft, Bernhard Maschke

Abstract

Systems of partial differential equations often admit different Hamiltonian representations, leading to different boundary variables that are either power or energy conjugate. It is shown that any linear infinite-dimensional Hamiltonian system can be transformed into one with constant symplectic matrix. Alternatively, any passive linear Hamiltonian system can be converted into one with constant energy storage matrix. The consideration of energy boundary variables points towards a new approach to control by interconnection. All this is illustrated on the example of the elastic rod.

Citation

• Journal: 2024 IEEE 63rd Conference on Decision and Control (CDC)
• Year: 2024
• Volume:
• Issue:
• Pages: 2709–2714
• Publisher: IEEE
• DOI: 10.1109/cdc56724.2024.10886403

BibTeX

@inproceedings{Schaft_2024,
  title={{Linear port-Hamiltonian boundary control models and their equivalence}},
  DOI={10.1109/cdc56724.2024.10886403},
  booktitle={{2024 IEEE 63rd Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Schaft, Arjan van der and Maschke, Bernhard},
  year={2024},
  pages={2709--2714}
}

Download the bib file

References

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