On structural invariants in the energy-based in-domain control of infinite-dimensional port-Hamiltonian systems

Authors

Tobias Malzer, Hubert Rams, Markus Schöberl

Abstract

This contribution deals with energy-based in-domain control of systems governed by partial differential equations with spatial domain up to dimension two. We exploit a port-Hamiltonian system description based on an underlying jet-bundle formalism, where we restrict ourselves to systems with 2nd-order Hamiltonian. A certain power-conserving interconnection enables the application of a dynamic control law based on structural invariants. Furthermore, we use various examples such as beams and plates with in-domain actuation to demonstrate the capability of our approach.

Keywords

differential geometry, in-domain actuation, infinite-dimensional systems, partial-differential equations, port-hamiltonian systems, structural invariants

Citation

• Journal: Systems & Control Letters
• Year: 2020
• Volume: 145
• Issue:
• Pages: 104778
• Publisher: Elsevier BV
• DOI: 10.1016/j.sysconle.2020.104778

BibTeX

@article{Malzer_2020,
  title={{On structural invariants in the energy-based in-domain control of infinite-dimensional port-Hamiltonian systems}},
  volume={145},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2020.104778},
  journal={Systems \& Control Letters},
  publisher={Elsevier BV},
  author={Malzer, Tobias and Rams, Hubert and Schöberl, Markus},
  year={2020},
  pages={104778}
}

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