Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems

Authors

Friedrich Philipp, Manuel Schaller, Timm Faulwasser, Bernhard Maschke, Karl Worthmann

Abstract

We consider the problem of minimizing the supplied energy of infinite-dimensional linear port-Hamiltonian systems and prove that optimal trajectories exhibit the turnpike phenomenon towards certain subspaces induced by the dissipation of the dynamics. The theoretical foundations are illustrated by means of numerical examples concerning a Timoshenko beam and the heat equation.

Keywords

Optimal control; port-Hamiltonian systems; turnpike properties; dissipativity; infinite-dimensional systems

Citation

• Journal: IFAC-PapersOnLine
• Year: 2021
• Volume: 54
• Issue: 19
• Pages: 155–160
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2021.11.071
• Note: 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021- Berlin, Germany, 11-13 October 2021

BibTeX

@article{Philipp_2021,
  title={{Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems}},
  volume={54},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2021.11.071},
  number={19},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Philipp, Friedrich and Schaller, Manuel and Faulwasser, Timm and Maschke, Bernhard and Worthmann, Karl},
  year={2021},
  pages={155--160}
}

Download the bib file

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