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SUMMARY:Yann Le Gorrec (FEMTO-ST\, Besançon)
DTSTART:20240911T140000Z
DTEND:20240911T150000Z
DTSTAMP:20260513T204643Z
UID:PHSeminar/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHSeminar/7/
 ">Modelling\, interconnection and control of irreversible port Hamiltonian
  systems</a>\nby Yann Le Gorrec (FEMTO-ST\, Besançon) as part of Port-Ham
 iltonian Seminar (pH Seminar)\n\n\nAbstract\nOriginating in macroscopic me
 chanics\, port Hamiltonian formulations were proposed and intensively used
  for the modular modelling and control of conservative and dissipative mul
 tiphysics systems for which the thermal domain does not need to be explici
 tly represented. Yet in many cutting-edge engineering applications\, for e
 xample within the field of soft or micro-nano robotics\, process control\,
  material sciences\, energy production etc … temperature plays a central
  role and needs to be explicitly taken into account. This class of systems
  is referred to as Irreversible Thermodynamic systems. Several attempts ha
 ve been made to extend port Hamiltonian and Lagrangian formulations to Irr
 eversible Thermodynamic systems. Among them\, the Irreversible port Hamilt
 onian formulations\, which consider the entropy as additional state variab
 le\, are particularly promising for their simplicity\, their constructiven
 ess and the amount of information they can encode.\n\nIn the first part of
  this talk we recall some definitions and properties of finite dimensional
  Irreversible port Hamiltonian systems. We show how this structure allows 
 to cope with the first and second principles of Thermodynamics i.e. conser
 vation of the internal energy and irreversible entropy creation. We then s
 how how the interconnection of two controlled lrreversible port Hamiltonia
 n Systems via thermal ports has to be state and co-state modulated in orde
 r to ensure the closed-loop lrreversible port Hamiltonian structure\, sati
 sfying the first and second laws of Thermodynamics. This modulation and cl
 osed loop invariants are then used to derive efficient controllers via ene
 rgy shaping and entropy assignment. In the second part of this talk we pre
 sent some recent extensions to boundary controlled distributed parameter s
 ystems defined on a 1D spatial domain and show\, on the heat equation exam
 ple\, how similar energy shaping and entropy assignment techniques can be 
 used for control design.\n\nThis talk is based on a joint work with Hector
  Ramirez and Bernhard Maschke.\n
LOCATION:https://researchseminars.org/talk/PHSeminar/7/
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