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

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

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

Optimization and Control 2021-05-11 v1

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.

Keywords

infinite-dimensional systems port-Hamiltonian systems energy minimization optimal control turnpike phenomenon

Cite

@article{arxiv.2105.03873,
  title  = {Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems},
  author = {Friedrich Philipp and Manuel Schaller and Timm Faulwasser and Bernhard Maschke and Karl Worthmann},
  journal= {arXiv preprint arXiv:2105.03873},
  year   = {2021}
}

Comments

12 pages

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