Optimal control of port-Hamiltonian systems: Energy, entropy, and exergy

Authors

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

Abstract

We consider irreversible and coupled reversible–irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned with optimal state transitions and output stabilization on finite-time horizons. We analyze a class of optimal control problems, where the performance functional can be interpreted as a linear combination of energy supply, entropy generation, or exergy supply. Our results establish the integral turnpike property towards the set of thermodynamic equilibria providing a rigorous connection of optimal system trajectories to optimal steady states. Throughout the paper, we illustrate our findings by means of two examples: a network of heat exchangers and a gas-piston system.

Keywords

Energy; Entropy; Exergy; Port-Hamiltonian systems; Optimal control; Turnpike property; Manifold turnpike; Thermodynamics; Dissipativity; Passivity

Citation

Journal: Systems & Control Letters
Year: 2024
Volume: 194
Issue:
Pages: 105942
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2024.105942

BibTeX

@article{Philipp_2024,
  title={{Optimal control of port-Hamiltonian systems: Energy, entropy, and exergy}},
  volume={194},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2024.105942},
  journal={Systems &amp; Control Letters},
  publisher={Elsevier BV},
  author={Philipp, Friedrich M. and Schaller, Manuel and Worthmann, Karl and Faulwasser, Timm and Maschke, Bernhard},
  year={2024},
  pages={105942}
}

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