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SUMMARY:Yann Le Gorrec (FEMTO-ST\, Besançon)
DTSTART:20240911T140000Z
DTEND:20240911T150000Z
DTSTAMP:20260423T023942Z
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\n\n\nAbstract\nOriginating in macroscopic mechanics\, por
 t Hamiltonian formulations were proposed and intensively used for the modu
 lar modelling and control of conservative and dissipative multiphysics sys
 tems for which the thermal domain does not need to be explicitly represent
 ed. Yet in many cutting-edge engineering applications\, for example within
  the field of soft or micro-nano robotics\, process control\, material sci
 ences\, energy production etc … temperature plays a central role and nee
 ds to be explicitly taken into account. This class of systems is referred 
 to as Irreversible Thermodynamic systems. Several attempts have been made 
 to extend port Hamiltonian and Lagrangian formulations to Irreversible The
 rmodynamic systems. Among them\, the Irreversible port Hamiltonian formula
 tions\, which consider the entropy as additional state variable\, are part
 icularly promising for their simplicity\, their constructiveness and the a
 mount 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. conservation of the
  internal energy and irreversible entropy creation. We then show how the i
 nterconnection of two controlled lrreversible port Hamiltonian Systems via
  thermal ports has to be state and co-state modulated in order to ensure t
 he closed-loop lrreversible port Hamiltonian structure\, satisfying the fi
 rst and second laws of Thermodynamics. This modulation and closed loop inv
 ariants are then used to derive efficient controllers via energy shaping a
 nd entropy assignment. In the second part of this talk we present some rec
 ent extensions to boundary controlled distributed parameter systems define
 d on a 1D spatial domain and show\, on the heat equation example\, how sim
 ilar energy shaping and entropy assignment techniques can be used for cont
 rol 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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