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 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.
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Automatica, Elsevier, 2016, 64 (1), pp.105 - 111
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Héctor Ramirez, Yann Gorrec, Bernhard Maschke, Françoise Couenne. On the passivity based control of irreversible processes: a port-Hamiltonian approach.. Automatica, Elsevier, 2016, 64 (1), pp.105 - 111. 〈hal-01303486〉

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