Control of Beam Vibrations by Casimir Functions

Authors

Hubert Rams, Markus Schöberl, Kurt Schlacher

Abstract

This contribution presents a port-Hamiltonian (pH) framework for the modeling and control of a certain class of distributed-parameter systems. Since the proposed pH-formulation can be seen as a direct adoption of the calculus of variations on jet bundles, it is especially suited for mechanical systems exhibiting a variational character. Besides the pH-framework, an energy-based control scheme making heavy use of structural invariants (casimir functions) is presented on the example of a boundary-controlled Euler–Bernoulli beam.

Citation

• ISBN: 9783319908830
• Publisher: Springer International Publishing
• DOI: 10.1007/978-3-319-90884-7_15

BibTeX

@inbook{Rams_2019,
  title={{Control of Beam Vibrations by Casimir Functions}},
  ISBN={9783319908847},
  DOI={10.1007/978-3-319-90884-7_15},
  booktitle={{Dynamics and Control of Advanced Structures and Machines}},
  publisher={Springer International Publishing},
  author={Rams, Hubert and Schöberl, Markus and Schlacher, Kurt},
  year={2019},
  pages={137--145}
}

Download the bib file

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