Port-Hamiltonian systems with energy and power ports

2024/05/02 by Krhac, Kaja, Maschke, Bernhard, van der Schaft, Arjan · 1 citation
#70H45 (Secondary) #93A99 (Primary) 53D12 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Optimization and Control (math.OC) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2405.01241

Abstract

We extend the port-Hamiltonian framework defined with respect to a Lagrangian submanifold and a Dirac structure by augmenting the Lagrangian submanifold with the space of external variables. The new pair of conjugated variables is called energy port. We show that in the most general case, the extension describes constrained Hamiltonian systems whose Hamiltonian function depends on inputs.

Cited by

• Structure-preserving space discretization of differential and nonlocal constitutive relations for port-Hamiltonian systems

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