| Issue |
ESAIM: COCV
Volume 26, 2020
|
|
|---|---|---|
| Article Number | 4 | |
| Number of page(s) | 20 | |
| DOI | https://doi.org/10.1051/cocv/2019002 | |
| Published online | 27 January 2020 | |
On the construction of nearly time optimal continuous feedback laws around switching manifolds*,**
1
Dipartimento di Matematica, Università di Padova,
Via Trieste 63,
35121
Padova, Italy.
2
Departamento de Matemática, Universidad Técnica Federico Santa María, Avenida España 1680,
Valparaíso, Chile.
*** Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
15
March
2018
Accepted:
11
January
2019
Abstract
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.
Mathematics Subject Classification: 49J15 / 49J30 / 93B52
Key words: Feedback controls / nearly time optimal control / minimum time problems
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.
© EDP Sciences, SMAI 2020
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