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

Year: 2024
Type: article
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.
DOI: 10.1016/j.sysconle.2024.105942
Institutions: Technische Universität Ilmenau, Chemnitz University of Technology, TU Dortmund University, Hamburg University of Technology, Lyon 1 Université, Centre National de la Recherche Scientifique, Laboratoire d'Automatique, de Génie des Procédés et de Génie Pharmaceutique
Language: English
Open Access status: hybrid
Estimated APC paid: $2,830
Funders: Freistaat Thüringen, Deutsche Forschungsgemeinschaft, Bundesministerium für Bildung und Forschung, Centre National de la Recherche Scientifique, Université de Lyon, Technische Universität Dortmund
OpenAlex ID: W4403827992
FWCI: 1.422
Cites: 50
Cited by: 9
Related to: 10