Authors

Simon Hochgerner

Abstract

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.

Keywords

Stabilization; Feedback control; Controlled Lagrangians; Port-Hamiltonian systems; 34H15; 37J25; 70H14; 76W05; 93D15

Citation

  • Journal: Journal of Nonlinear Science
  • Year: 2024
  • Volume: 34
  • Issue: 3
  • Pages:
  • Publisher: Springer Science and Business Media LLC
  • DOI: 10.1007/s00332-024-10031-9

BibTeX

@article{Hochgerner_2024,
  title={{Nonlinear Feedback, Double-bracket Dissipation and Port Control of Lie–Poisson Systems}},
  volume={34},
  ISSN={1432-1467},
  DOI={10.1007/s00332-024-10031-9},
  number={3},
  journal={Journal of Nonlinear Science},
  publisher={Springer Science and Business Media LLC},
  author={Hochgerner, Simon},
  year={2024}
}

Download the bib file

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