Bernard Bonnard

Monique Chyba

Jérémy Rouot

This book introduces readers to techniques of geometric optimal control as well as the exposure and applicability of adapted numerical schemes. It is based on two real-world applications, which have been the subject of two current academic research programs and motivated by industrial use – the design of micro-swimmers and the contrast problem in medical resonance imaging. The recently developed numerical software has been applied to the cases studies presented here. The book is intended for use at the graduate and Ph.D. level to introduce students from applied mathematics and control engineering to geometric and computational techniques in optimal control.

Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging

Geometric and Numerical Optimal Control

Ludovic Faubourg

Emmanuel Trélat

Le but de ce livre est de présenter les développements récents du contrôle géométrique orienté vers la commande des véhicules spatiaux. Son contenu a servi de base à une série de cours de contrôle et d'automatique de 3e cycle. Il s'appuie sur des projets de recherche avec l'ESTEC et le CNES, sur le contrôle d'attitude d'un satellite, le problème de transfert orbital en temps minimal, et le problème de rentrée atmosphérique d'une navette spatiale.

Bernard Bonnard

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