Prospects on solving an optimal control problem with bounded uncertainties on parameters using interval arithmetic

Bertin Etienne and Brendel Elliot and Hérissé Bruno and Alexandre dit Sandretto Julien and Chapoutot Alexandre: Prospects on solving an optimal control problem with bounded uncertainties on parameters using interval arithmetic. In: Acta cybernetica, (25) 1. pp. 101-125. (2021)

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Abstract

An interval method based on Pontryagin’s Minimum Principle is proposed to enclose the solutions of an optimal control problem with embedded bounded uncertainties. This method is used to compute an enclosure of all optimal trajectories of the problem, as well as open loop and closed loop enclosures meant to validate an optimal guidance algorithm on a concrete system with inaccurate knowledge of the parameters. The differences in geometry of these enclosures are exposed, and showcased on a simple system. These enclosures can guarantee that a given optimal control problem will yield a satisfactory trajectory for any realization of the uncertainties. Contrarily, the probability of failure may not be eliminated and the problem might need to be adjusted.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 2021
Volume: 25
Number: 1
ISSN: 0324-721X
Page Range: pp. 101-125
Language: English
Publisher: University of Szeged, Institute of Informatics
Related URLs: http://acta.bibl.u-szeged.hu/73050/
DOI: 10.14232/actacyb.285798
Uncontrolled Keywords: Kibernetika
Additional Information: Bibliogr.: p. 124-125. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.02. Computer and information sciences
01. Natural sciences > 01.02. Computer and information sciences > 01.02.01. Computer sciences, information science and bioinformatics
Date Deposited: 2021. Jul. 19. 10:02
Last Modified: 2021. Jul. 19. 10:02
URI: http://acta.bibl.u-szeged.hu/id/eprint/73082

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