Port-Hamiltonian systems with energy and power ports
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916232408596480 |
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| author | Krhac, Kaja Maschke, Bernhard van der Schaft, Arjan |
| author_facet | Krhac, Kaja Maschke, Bernhard van der Schaft, Arjan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01241 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Port-Hamiltonian systems with energy and power ports Krhac, Kaja Maschke, Bernhard van der Schaft, Arjan Optimization and Control Mathematical Physics Symplectic Geometry 93A99 (Primary) 53D12, 70H45 (Secondary) 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. |
| title | Port-Hamiltonian systems with energy and power ports |
| topic | Optimization and Control Mathematical Physics Symplectic Geometry 93A99 (Primary) 53D12, 70H45 (Secondary) |
| url | https://arxiv.org/abs/2405.01241 |