On Casimir Functionals for Infinite-Dimensional Port-Hamiltonian Control Systems

Authors

Markus Schoberl, Andreas Siuka

Abstract

We consider infinite-dimensional port-Hamiltonian systems with respect to control issues. In contrast to the well-established representation relying on Stokes-Dirac structures that are based on skew-adjoint differential operators and the use of energy variables, we employ a different port-Hamiltonian framework. Based on this system representation conditions for Casimir functionals will be derived where in this context the variational derivative plays an extraordinary role. Furthermore the coupling of finite- and infinite-dimensional systems will be analyzed in the spirit of the control by interconnection problem.

Citation

• Journal: IEEE Transactions on Automatic Control
• Year: 2013
• Volume: 58
• Issue: 7
• Pages: 1823–1828
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• DOI: 10.1109/tac.2012.2235739

BibTeX

@article{Schoberl_2013,
  title={{On Casimir Functionals for Infinite-Dimensional Port-Hamiltonian Control Systems}},
  volume={58},
  ISSN={1558-2523},
  DOI={10.1109/tac.2012.2235739},
  number={7},
  journal={IEEE Transactions on Automatic Control},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Schoberl, Markus and Siuka, Andreas},
  year={2013},
  pages={1823--1828}
}

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References

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