Geodesic
On the construction of nearly time optimal continuous feedback laws around switching manifolds
ESAIM: Control, Optimisation and Calculus of Variations, Tome 26 (2020), article no. 4.

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In this paper, we address the question of the construction of a nearly time optimal feedback law for a minimum time optimal control problem, which is robust with respect to internal and external perturbations. For this purpose we take as starting point an optimal synthesis, which is a suitable collection of optimal trajectories. The construction we exhibit depends exclusively on the initial data obtained from the optimal feedback which is assumed to be known.

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Accepté le :
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DOI : 10.1051/cocv/2019002
Classification : 49J15, 49J30, 93B52
Keywords: Feedback controls, nearly time optimal control, minimum time problems 
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Ancona, Fabio; Hermosilla, Cristopher. On the construction of nearly time optimal continuous feedback laws around switching manifolds. ESAIM: Control, Optimisation and Calculus of Variations, Tome 26 (2020), article no. 4. doi : 10.1051/cocv/2019002. http://geodesic.mathdoc.fr/articles/10.1051/cocv/2019002/

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This work was supported by the European Union under the 7th Framework Programme FP7-PEOPLE-2010-ITN Grant agreement number 264735-SADCO.

C. Hermosilla was supported by CONICYT-Chile through FONDECYT grant number 3170485 and Proyecto REDES ETAPA INICIAL, Convocatoria 2017 REDI170200.