Structure-preserving ( H^\infty ) control for port-Hamiltonian systems

Authors

Abstract

We study H ∞ control design for linear time-invariant port-Hamiltonian systems. By a modification of the two central algebraic Riccati equations, we ensure that the resulting controller will be port-Hamiltonian. Using these modified equations, we proceed to show that a corresponding balanced truncation approach preserves port-Hamiltonian structure. We illustrate the theoretical findings using numerical examples and observe that the chosen representation of the port-Hamiltonian system can have an influence on the approximation qualities of the reduced order model.

Keywords

Port-Hamiltonian systems; \( H^\infty \) control design; Model order reduction

Citation

Journal: Systems & Control Letters
Year: 2023
Volume: 174
Issue:
Pages: 105493
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2023.105493

BibTeX

@article{Breiten_2023,
  title={{Structure-preserving $H^\infty$ control for port-Hamiltonian systems}},
  volume={174},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2023.105493},
  journal={Systems &amp; Control Letters},
  publisher={Elsevier BV},
  author={Breiten, Tobias and Karsai, Attila},
  year={2023},
  pages={105493}
}

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