Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914964854276096 |
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| author | Philipp, Friedrich Schaller, Manuel Worthmann, Karl Faulwasser, Timm Maschke, Bernhard |
| author_facet | Philipp, Friedrich Schaller, Manuel Worthmann, Karl Faulwasser, Timm Maschke, Bernhard |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_08914 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Optimal control of port-Hamiltonian systems: energy, entropy, and exergy Philipp, Friedrich Schaller, Manuel Worthmann, Karl Faulwasser, Timm Maschke, Bernhard Optimization and Control Systems and Control Dynamical Systems 80M50, 93D20, 37J25 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. |
| title | Optimal control of port-Hamiltonian systems: energy, entropy, and exergy |
| topic | Optimization and Control Systems and Control Dynamical Systems 80M50, 93D20, 37J25 |
| url | https://arxiv.org/abs/2306.08914 |