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arXiv · 2307.09235

Nonlinear feedback, double bracket dissipation and port control of Lie-Poisson systems

Simon Hochgerner
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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.

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Simon Hochgerner. 2023-07-18. Nonlinear feedback, double bracket dissipation and port control of Lie-Poisson systems. https://doi.org/10.1007/s00332-024-10031-9

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