Authors

Héctor Ramírez, Yann Le Gorrec, Bernhard Maschke, Françoise Couenne

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

Passivity based control; Port-Hamiltonian systems; Irreversible thermodynamics; CSTR

Citation

BibTeX

@article{Ram_rez_2016,
  title={{On the passivity based control of irreversible processes: A port-Hamiltonian approach}},
  volume={64},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2015.07.002},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Ramírez, Héctor and Le Gorrec, Yann and Maschke, Bernhard and Couenne, Françoise},
  year={2016},
  pages={105--111}
}

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References