On the passivity based control of irreversible processes: a port-Hamiltonian approach.
Résumé
Irreversible port-Hamiltonian systems (IPHS) have recently been proposed for the modelling of irreversible thermo-
dynamic systems. On the other hand, a classical result on the use of the second law of Thermodynamics for the
stabilization of irreversible processes is the celebrated thermodynamic availability function. These frameworks are
combined to propose a class of Passivity Based Controller (PBC) for irreversible processes. An alternative formula-
tion of the availability function in terms of internal energy is proposed. Using IPHS a matching-condition, which is
interpreted in terms of energy-shaping, is derived and a specific solution that permits to assign a desired closed-loop
structure and entropy rate is proposed. The approach can be compared with Interconnection and Damping Assign-
ment - PBC, this method however leads in general to thermodynamically non-coherent closed-loop systems. In this
paper a system theoretic approach is employed to derive a constructive method for the control design. The closed-loop
system is in IPHS form, hence it can be identified with a thermodynamic system and the control parameters related
with thermodynamic variables, such as the reaction rates in the case of chemical reactions. A generic non-linear
non-isothermal continuous stirred tank reactor is used to illustrate the approach.
Fichier principal
1ba15037-4754-4889-bb33-587f4584c509-author.pdf (125.34 Ko)
Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...