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Article Dans Une Revue International Journal of Tomography and Statistics Année : 2007

Flatness and Optimal Control of Oscillators

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Pierre Rouchon

Résumé

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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hal-00516682 , version 1 (10-09-2010)

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  • HAL Id : hal-00516682 , version 1

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