Comparison of Alternative Port-Hamiltonian Dynamics Extensions to the Thermodynamic Domain Toward IDA-PBC-Like Control: Application to a Heat Transfer Model

Authors

Oleksiy Kuznyetsov

Abstract

The dynamics of port-Hamiltonian systems is based on energy balance principles (the first law of thermodynamics) embedded in the structure of the model. However, when dealing with thermodynamic subsystems, the second law (entropy production) should also be explicitly taken into account. Several frameworks were developed as extensions to the thermodynamic domain of port-Hamiltonian systems. In our work, we study three of them, namely irreversible port-Hamiltonian systems, entropy-based generalized Hamiltonian systems, and entropy-production-metric-based port-Hamiltonian systems, which represent alternative approaches of selecting the state variables, the storage function, simplicity of physical interpretation, etc. On the example of a simplified lumped-parameter model of a heat exchanger, we study the frameworks in terms of their implementability for an IDA-PBC-like control and the simplicity of using these frameworks for practitioners already familiar with the port-Hamiltonian systems. The comparative study demonstrated the possibility of using each of these approaches to derive IDA-PBC-like thermodynamically consistent control and provided insight into the applicability of each framework for the modeling and control of multiphysics systems with thermodynamic subsystems.

Citation

• Journal: Dynamics
• Year: 2025
• Volume: 5
• Issue: 4
• Pages: 42
• Publisher: MDPI AG
• DOI: 10.3390/dynamics5040042

BibTeX

@article{Kuznyetsov_2025,
  title={{Comparison of Alternative Port-Hamiltonian Dynamics Extensions to the Thermodynamic Domain Toward IDA-PBC-Like Control: Application to a Heat Transfer Model}},
  volume={5},
  ISSN={2673-8716},
  DOI={10.3390/dynamics5040042},
  number={4},
  journal={Dynamics},
  publisher={MDPI AG},
  author={Kuznyetsov, Oleksiy},
  year={2025},
  pages={42}
}

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