Port-Hamiltonian systems with energy and power ports
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2024
- DOI:
- 10.48550/arXiv.2405.01241
- arXiv:
- arXiv:2405.01241
- Bibcode:
- 2024arXiv240501241K
- Keywords:
-
- Mathematics - Optimization and Control;
- Mathematical Physics;
- Mathematics - Symplectic Geometry;
- 93A99 (Primary) 53D12;
- 70H45 (Secondary)
- E-Print:
- 6 pages