Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
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
Cite
@article{arxiv.2306.08914,
title = {Optimal control of port-Hamiltonian systems: energy, entropy, and exergy},
author = {Friedrich Philipp and Manuel Schaller and Karl Worthmann and Timm Faulwasser and Bernhard Maschke},
journal= {arXiv preprint arXiv:2306.08914},
year = {2024}
}
Comments
24 pages, 5 figures