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  • 标题:Modelling the 1D piston problem as interconnected port-Hamiltonian systems ⁎
  • 本地全文:下载
  • 作者:Anne-Sophie Treton ; Ghislain Haine ; Denis Matignon
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2020
  • 卷号:53
  • 期号:2
  • 页码:11503-11508
  • DOI:10.1016/j.ifacol.2020.12.601
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractIn 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.
  • 关键词:KeywordsPiston problemport-Hamiltonian systemDirac structurefree boundarynon-linear PDEfluid-structure-thermal interactionscontrolobservation
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