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arXiv · 2202.09086

Optimal control of thermodynamic port-Hamiltonian Systems

Bernhard Maschke·Friedrich Philipp·Manuel Schaller·Karl Worthmann·Timm Faulwasser
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Abstract

We consider the problem of minimizing the entropy, energy, or exergy production for state transitions of irreversible port-Hamiltonian systems subject to control constraints. Via a dissipativity-based analysis we show that optimal solutions exhibit the manifold turnpike phenomenon with respect to the manifold of thermodynamic equilibria. We illustrate our analytical findings via numerical results for a heat exchanger.

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Bernhard Maschke, Friedrich Philipp, Manuel Schaller, Karl Worthmann, Timm Faulwasser. 2022-02-18. Optimal control of thermodynamic port-Hamiltonian Systems. https://arxiv.org/abs/2202.09086

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