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Modelling the 1D piston problem as interconnected port-Hamiltonian systems

Treton, Anne-Sophie and Haine, Ghislain and Matignon, Denis Modelling the 1D piston problem as interconnected port-Hamiltonian systems. (2020) In: The 21st World Congress of The International Federation of Automatic Control (IFAC 2020), 11 July 2020 - 17 July 2020 (Virtual event, Germany).

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Official URL: https://doi.org/10.1016/j.ifacol.2020.12.601

Abstract

In this study, the modelling of the boundary-controlled 1D piston problem as the interconnection of simpler port-Hamiltonian systems (pHs) is addressed. More precisely, two viscous compressible fluids are separated by a moving rigid body on a bounded domain (0, L). Thermodynamics is taken into account, leading to two pHs for each physical domain: one associated to the kinetic energy and the other one to the internal energy. No chemical reaction is being considered in the system. A control by mass injection/rejection and heating is then applied at the left end of the first fluid.

Item Type:Conference or Workshop Item (Paper)
Additional Information:vol. 53 n°2
Audience (conference):International conference proceedings
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Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
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Deposited On:27 Apr 2021 09:23

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