Achievable Casimirs and its implications on control of port-Hamiltonian systems

Authors

R. Pasumarthy, A. J. van der Schaft

Abstract

In this paper we extend results on interconnections of port-Hamiltonian systems to infinite-dimensional port-Hamiltonian systems and to mixed finite and infinite dimensional port-Hamiltonian systems. The problem of achievable Dirac structures is now studied for systems with dissipation, in the finite-dimensional, infinite-dimensional and the mixed finite and infinite-dimensional case. We also characterize the set of achievable Casimirs and study its application for the control of port-Hamiltonian systems.

Citation

• Journal: International Journal of Control
• Year: 2007
• Volume: 80
• Issue: 9
• Pages: 1421–1438
• Publisher: Informa UK Limited
• DOI: 10.1080/00207170701361273

BibTeX

@article{Pasumarthy_2007,
  title={{Achievable Casimirs and its implications on control of port-Hamiltonian systems}},
  volume={80},
  ISSN={1366-5820},
  DOI={10.1080/00207170701361273},
  number={9},
  journal={International Journal of Control},
  publisher={Informa UK Limited},
  author={Pasumarthy, R. and van der Schaft, A. J.},
  year={2007},
  pages={1421--1438}
}

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References

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