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

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.

Subjects

Dissipativity

Energy

Entropy

Exergy

Manifold turnpike

Optimal control

Passivity

Port-Hamiltonian systems

Thermodynamics

Turnpike property

DDC Class

530: Physics

510: Mathematics

621: Applied Physics

Lizenz

https://creativecommons.org/licenses/by-nc-nd/4.0/

Name

1-s2.0-S0167691124002305-main.pdf

Type

Main Article

Size

1.37 MB

Format

Adobe PDF

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