On the passivity based control of irreversible processes: A port-Hamiltonian approach

Abstract : Irreversible port-Hamiltonian systems (IPHS) have recently been proposed for the modelling of irreversible thermodynamic 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 formulation 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 Assignment-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.
Keywords : ACL
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https://hal.archives-ouvertes.fr/hal-01905352
Contributeur : Olivier Garrigues <>
Soumis le : jeudi 25 octobre 2018 - 16:56:34
Dernière modification le : jeudi 14 février 2019 - 14:28:08

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Héctor Ram\'Irez, Yann Le Gorrec, Bernhard Maschke, Françoise Couenne. On the passivity based control of irreversible processes: A port-Hamiltonian approach. Automatica, 2016, 64 (February 2016), pp.105-111. 〈10.1016/j.automatica.2015.07.002〉. 〈hal-01905352〉

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