Title | ||
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On the passivity based control of irreversible processes: A port-Hamiltonian approach |
Abstract | ||
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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. |
Year | DOI | Venue |
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2016 | 10.1016/j.automatica.2015.07.002 | Automatica |
Keywords | DocType | Volume |
Passivity based control,Port-Hamiltonian systems,Irreversible thermodynamics,CSTR | Journal | 64 |
Issue | ISSN | Citations |
1 | 0005-1098 | 1 |
PageRank | References | Authors |
0.36 | 8 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hector Ramirez Estay | 1 | 7 | 1.60 |
Yann Le Gorrec | 2 | 43 | 11.22 |
Bernhard Maschke | 3 | 518 | 83.42 |
Françoise Couenne | 4 | 28 | 6.11 |