0000000001177428

AUTHOR

Bernhard Maschke

showing 2 related works from this author

Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold

2017

This technical note addresses the structure preserving stabilization by output feedback of conservative input-output contact systems, a class of input-output Hamiltonian systems defined on contact manifolds. In the first instance, achievable contact forms in closed-loop and the associated Legendre submanifolds are analysed. In the second instance the stability properties of a hyperbolic equilibrium point of a strict contact vector field are analysed and it is shown that the stable and unstable manifolds are Legendre submanifolds. In the third instance the consequences for the design of stable structure preserving output feedback are derived: in closed-loop one may achieve stability only rel…

0209 industrial biotechnology02 engineering and technologyTopology01 natural sciences010305 fluids & plasmaslaw.inventionHamiltonian system[SPI.AUTO]Engineering Sciences [physics]/Automatic020901 industrial engineering & automation[CHIM.GENI]Chemical Sciences/Chemical engineeringlaw[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering0103 physical sciencesEntropy (information theory)[SPI.GPROC]Engineering Sciences [physics]/Chemical and Process EngineeringElectrical and Electronic EngineeringLegendre polynomialsComputingMilieux_MISCELLANEOUSMathematicsHyperbolic equilibrium pointACLMathematical analysisSubmanifoldThermostatComputer Science ApplicationsControl and Systems EngineeringHeat transferVector field
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Boundary controlled irreversible port-Hamiltonian systems

2021

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…

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)
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