Approximation by filtering in optimal control and applications

Abstract : Minimum time control of slow-fast systems is considered. In the case of only one fast angle, averaging techniques are available for such systems. The approach introduced in Dargent (2014) and Bombrun et al. (2013) is recalled, then extended to time dependent systems by means of a suitable filtering operator. The process relies upon approximating the dynamics by means of sliding windows. The size of these windows is an additional parameter that provides intermediate approximations between averaging over the whole fast angle period and the original dynamics. The method is illustrated on problems coming from space mechanics.
Type de document :
Pré-publication, Document de travail
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Contributeur : Jean-Baptiste Caillau <>
Soumis le : mercredi 30 novembre 2016 - 12:27:00
Dernière modification le : jeudi 27 avril 2017 - 13:12:59


  • HAL Id : hal-01405724, version 1



Jean-Baptiste Caillau, Thierry Dargent, Florentina Nicolau. Approximation by filtering in optimal control and applications. 2016. 〈hal-01405724〉



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