Search results for "necessary optimality conditions"

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Méthodes géometriques en mécanique spatiale et aspects numériques

2005

We present in this thesis two research projectson the optimal control of the space vehicles.In the first, we have dealt with the orbit transferproblem. We study the minimum time control of a satellite that we want to reach a geostationary orbit. Our contribution is of two kinds. Geometric, first, since we study the controllability of the system together with the geometry of the transfer (structure of the command) by means of geometric control without state constraint tools (minimum principle). Then we present shootingalgorithm and homotopy method. These approaches allow the numerical resolution of problems with strong or low thrust satellites.The second project concerns to the calculation o…

[ MATH ] Mathematics [math]algorithme de tir multipleorbital transfer[MATH] Mathematics [math]<br /> optimal control with state constraints<br />méthode de continuationtransfert orbitalnecessary optimality conditionshomotopy method.rentrée atmosphériqueconditions nécessaires d'optimalitéatmospheric re-entry<br /> multiple shooting algorithm[MATH]Mathematics [math]contrôle optimal avec contraintes sur l'état<br />méthode de continuation.méthodes numériques indirectes
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