6533b871fe1ef96bd12d19b3

RESEARCH PRODUCT

Boundary controlled irreversible port-Hamiltonian systems

Hector RamirezYann Le GorrecBernhard Maschke

subject

CouplingPhysics0209 industrial biotechnologyApplied MathematicsGeneral Chemical EngineeringMathematical analysisStructure (category theory)Boundary (topology)Port (circuit theory)02 engineering and technologyGeneral ChemistrySystems and Control (eess.SY)Dissipation01 natural sciencesLaws of thermodynamicsElectrical Engineering and Systems Science - Systems and ControlIndustrial and Manufacturing EngineeringHamiltonian system020901 industrial engineering & automation0103 physical sciencesFOS: Electrical engineering electronic engineering information engineering010306 general physicsEnergy (signal processing)

description

Abstract Boundary controlled irreversible port-Hamiltonian systems (BC-IPHS) defined on a 1-dimensional spatial domain are defined by extending the formulation of reversible BC-PHS to irreversible thermodynamic systems controlled at the boundaries of their spatial domain. The structure of BC-IPHS has clear physical interpretation, characterizing the coupling between energy storing and energy dissipating elements. By extending the definition of boundary port variables of BC-PHS to deal with the irreversible energy dissipation, a set of boundary port variables are defined such that BC-IPHS are passive with respect to a given set of conjugated inputs and outputs. As for finite dimensional IPHS, the first and second laws of Thermodynamics are satisfied as a structural property of the system. Several examples are given to illustrate the proposed approach.

yearjournalcountryeditionlanguage
2021-04-27
10.3390/e24101478http://arxiv.org/abs/2104.13459