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Article dans une revue

Flatness and Optimal Control of Oscillators

Abstract : The aim of this paper is to present some recent developments and hints for future researches in control inspired of flatness-based ideas. We explain how explicit trajectory parameterization, a property that is central for flat systems, can be useful for the control of various oscillatory systems (linear, nonlinear, finite and/or infinite dimension) of physical and engineering interests. Such parameterization provide simple algorithms to generate optimal trajectories via exact discretization. Three key examples are detailed: a linearized Schrödinger equation describing the interaction of an electro-magnetic field (the control) with an n-levels quantum system; the heavy chain described by a 1D wave equation; an Euler Bernoulli flexion beam.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00516682
Contributeur : François Chaplais <>
Soumis le : vendredi 10 septembre 2010 - 16:16:43
Dernière modification le : mercredi 14 octobre 2020 - 03:52:26

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  • HAL Id : hal-00516682, version 1

Citation

Pierre Rouchon. Flatness and Optimal Control of Oscillators. International Journal of Tomography & Statistics, 2007, 6 (S07), pp.8-14. ⟨hal-00516682⟩

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