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

Authors

Anne-Sophie Treton, Ghislain Haine, Denis Matignon

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.

Keywords

Piston problem; port-Hamiltonian system; Dirac structure; free boundary; non-linear PDE; fluid-structure-thermal interactions; control; observation

Citation

• Journal: IFAC-PapersOnLine
• Year: 2020
• Volume: 53
• Issue: 2
• Pages: 11503–11508
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2020.12.601
• Note: 21st IFAC World Congress- Berlin, Germany, 11–17 July 2020

BibTeX

@article{Treton_2020,
  title={{Modelling the 1D piston problem as interconnected port-Hamiltonian systems}},
  volume={53},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2020.12.601},
  number={2},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Treton, Anne-Sophie and Haine, Ghislain and Matignon, Denis},
  year={2020},
  pages={11503--11508}
}

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