Distributed PCHD-Systems, from the Lumped to the Distributed Parameter Case

Authors

Kurt Schlacher

Abstract

The Hamiltonian approach has turned out to be an effective tool for modeling, system analysis and controller design in the lumped parameter case. There exist also several extensions to the distributed parameter case. This contribution presents a class of extended distributed parameter Hamiltonian systems, which preserves some useful properties of the well known class of Port Controlled Hamiltonian systems with Dissipation. In addition, special ports are introduced to take the boundary conditions into account. Finally, an introductory example and the example of a piezoelectric structure, a problem with two physical domains, show, how one can use the presented approach for modeling and design.

Keywords

distributed parameter systems, hamiltonian systems with input and dissipation

Citation

• ISBN: 9783540707004
• Publisher: Springer Berlin Heidelberg
• DOI: 10.1007/978-3-540-70701-1_13

BibTeX

@inbook{Schlacher,
  title={{Distributed PCHD-Systems, from the Lumped to the Distributed Parameter Case}},
  ISBN={9783540707004},
  DOI={10.1007/978-3-540-70701-1_13},
  booktitle={{Advances in Control Theory and Applications}},
  publisher={Springer Berlin Heidelberg},
  author={Schlacher, Kurt},
  pages={239--255}
}

Download the bib file

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