TY - GEN
T1 - Port-Hamiltonian systems with energy and power ports
AU - Krhač, Kaja
AU - Maschke, Bernhard
AU - van der Schaft, Arjan
N1 - Publisher Copyright:
Copyright © 2024 The Authors.
PY - 2024/6/1
Y1 - 2024/6/1
N2 - 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.
AB - 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.
KW - constrained Hamiltonian systems
KW - input-output systems
KW - Lagrangian submanifolds
KW - Morse families
KW - Port-Hamiltonian systems
UR - http://www.scopus.com/inward/record.url?scp=85206069959&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2024.08.294
DO - 10.1016/j.ifacol.2024.08.294
M3 - Conference contribution
AN - SCOPUS:85206069959
T3 - IFAC-PapersOnLine
SP - 280
EP - 285
BT - 8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control,
PB - Elsevier
T2 - 8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, LHMNC 2024
Y2 - 10 June 2024 through 12 June 2024
ER -