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ct: control toolbox - Numerical tools and examples in optimal control

Jean-Baptiste Caillau 1, 2, 3 Olivier Cots 4, 2 Pierre Martinon 5 
2 McTAO - Mathematics for Control, Transport and Applications
CRISAM - Inria Sophia Antipolis - Méditerranée
4 IRIT-APO - Algorithmes Parallèles et Optimisation
IRIT - Institut de recherche en informatique de Toulouse
5 CaGE - Control And GEometry
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
Abstract : Combining direct and indirect methods to have the best of both worlds is an efficient method to solve numerically optimal control problems. A direct solver will typically provide information on the structure of the optimal control, allowing an educated guess for indirect shooting. The control toolbox ct offers such possibilities and is presented on two examples. The first example has a bang-singular solution and is solved by chaining direct and indirect solvers. The second one consists in computing conjugate and cut loci on an ellipsoid of revolution, which is performed using a more advanced combination of indirect methods with differential continuation.
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https://hal.inria.fr/hal-03558975
Contributor : Olivier Cots Connect in order to contact the contributor
Submitted on : Friday, June 24, 2022 - 10:30:14 AM
Last modification on : Friday, August 5, 2022 - 12:02:02 PM

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  • HAL Id : hal-03558975, version 2

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Jean-Baptiste Caillau, Olivier Cots, Pierre Martinon. ct: control toolbox - Numerical tools and examples in optimal control. 2022. ⟨hal-03558975v2⟩

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