Convex optimisation approach to constrained fuel optimal control of spacecraft in close relative motion - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Advances in Space Research Année : 2018

Convex optimisation approach to constrained fuel optimal control of spacecraft in close relative motion

Résumé

This paper describes an interesting and powerful approach to the constrained fuel-optimal control of spacecraft in close relative motion. The proposed approach is well suited for problems under linear dynamic equations, therefore perfectly fitting to the case of spacecraft flying in close relative motion. If the solution of the optimisation is approximated as a polynomial with respect to the time variable, then the problem can be approached with a technique developed in the control engineering community, known as “Sum Of Squares” (SOS), and the constraints can be reduced to bounds on the polynomials. Such a technique allows rewriting polynomial bounding problems in the form of convex optimisation problems, at the cost of a certain amount of conservatism. The principles of the techniques are explained and some application related to spacecraft flying in close relative motion are shown.
Fichier principal
Vignette du fichier
article_source.pdf (322.41 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01721646 , version 1 (27-03-2019)

Identifiants

Citer

Paolo Massioni, Mauro Massari. Convex optimisation approach to constrained fuel optimal control of spacecraft in close relative motion. Advances in Space Research, 2018, 61 (9), pp.2366-2376. ⟨10.1016/j.asr.2018.02.020⟩. ⟨hal-01721646⟩
178 Consultations
60 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More