Infinite Dimensional Port Hamiltonian Representation of reaction diffusion processes.

Weijun Zhou (1) , Boussag Hamroun (1) , Yann Le Gorrec (2) , Françoise Couenne (1)

1 LAGEP - Laboratoire d'automatique et de génie des procédés
2 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

In this paper is proposed a thermodynamically consistent port Hamiltonian formulation of non isothermal reaction diffusion processes. The use of appropriate thermodynamic variables for the definition of the state and the co-state vectors allows to highlight the inherent infinite dimensional interconnection structure linking the different thermodynamic phenomena (entropy production, diffusion, conduction) that is suitable for control purposes. The presentation is given for systems defined on one dimensional spatial domain.

Domaines: Algorithme et structure de données [cs.DS]; Automatique / Robotique

Weijun Zhou, Boussag Hamroun, Yann Le Gorrec, Françoise Couenne. Infinite Dimensional Port Hamiltonian Representation of reaction diffusion processes.. International Conference on Mathematical Modelling, Feb 2015, Vienna, Austria. ⟨hal-02868222⟩