Nonlinear feedback, double bracket dissipation and port control of Lie-Poisson systems
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929304387977216 |
|---|---|
| author | Hochgerner, Simon |
| author_facet | Hochgerner, Simon |
| contents | Methods from controlled Lagrangians, double bracket dissipation and interconnection and damping assignment -- passivity based control (IDA-PBC) are used to construct nonlinear feedback controls which (asymptotically) stabilize previously unstable equilibria of Lie-Poisson Hamiltonian systems. The results are applied to find an asymptotically stabilizing control for the rotor driven satellite, and a stabilizing control for Hall magnetohydrodynamic flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_09235 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonlinear feedback, double bracket dissipation and port control of Lie-Poisson systems Hochgerner, Simon Mathematical Physics Optimization and Control Methods from controlled Lagrangians, double bracket dissipation and interconnection and damping assignment -- passivity based control (IDA-PBC) are used to construct nonlinear feedback controls which (asymptotically) stabilize previously unstable equilibria of Lie-Poisson Hamiltonian systems. The results are applied to find an asymptotically stabilizing control for the rotor driven satellite, and a stabilizing control for Hall magnetohydrodynamic flow. |
| title | Nonlinear feedback, double bracket dissipation and port control of Lie-Poisson systems |
| topic | Mathematical Physics Optimization and Control |
| url | https://arxiv.org/abs/2307.09235 |