A New Riemannian Framework for Efficient ℋ₂-Optimal Model Reduction of Port-Hamiltonian Systems

Authors

Tim Moser, Boris Lohmann

Abstract

We present a new framework for ℋ2-optimal model reduction of linear port-Hamiltonian systems. The approach retains structural properties of the original system, such as passivity, and is based on the efficient pole-residue formulation of the ℋ2-error norm. This makes Riemannian optimization computationally feasible for large-scale dynamical systems as well, which is supported by a numerical example.

Citation

• Journal: 2020 59th IEEE Conference on Decision and Control (CDC)
• Year: 2020
• Volume:
• Issue:
• Pages: 5043–5049
• Publisher: IEEE
• DOI: 10.1109/cdc42340.2020.9304134

BibTeX

@inproceedings{Moser_2020,
  title={{A New Riemannian Framework for Efficient ℋ2-Optimal Model Reduction of Port-Hamiltonian Systems}},
  DOI={10.1109/cdc42340.2020.9304134},
  booktitle={{2020 59th IEEE Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Moser, Tim and Lohmann, Boris},
  year={2020},
  pages={5043--5049}
}

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References

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