Energy-Based In-Domain Control of a Piezo-Actuated Euler-Bernoulli Beam

Authors

Tobias Malzer, Hubert Rams, Markus Schöberl

Abstract

The main contribution of this paper is the extension of the well-known boundary-control strategy based on structural invariants to the control of infinite-dimensional systems with in-domain actuation. The systems under consideration, governed by partial differential equations, are described in a port-Hamiltonian setting making heavy use of the underlying jet-bundle structure, where we restrict ourselves to systems with 1-dimensional spatial domain and 2nd-order Hamiltonian. To show the applicability of the proposed approach, we develop a dynamic controller for an Euler-Bernoulli beam actuated with a pair of piezoelectric patches and conclude the article with simulation results.

Keywords

infinite-dimensional systems; partial differential equations; in-domain actuation; differential geometry; port-Hamiltonian systems; structural invariants; dynamic controllers

Citation

• Journal: IFAC-PapersOnLine
• Year: 2019
• Volume: 52
• Issue: 2
• Pages: 144–149
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2019.08.025
• Note: 3rd IFAC Workshop on Control of Systems Governed by Partial Differential Equations CPDE 2019- Oaxaca, Mexico, 20–24 May 2019

BibTeX

@article{Malzer_2019,
  title={{Energy-Based In-Domain Control of a Piezo-Actuated Euler-Bernoulli Beam}},
  volume={52},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2019.08.025},
  number={2},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Malzer, Tobias and Rams, Hubert and Schöberl, Markus},
  year={2019},
  pages={144--149}
}

Download the bib file

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