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

2022 · doi:10.21203/rs.3.rs-2374986/v1
preprint OA: closed CC-BY-4.0
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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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License: CC-BY-4.0