A Minimum-Fuel Fixed-Time Low-Thrust Rendezvous Solved with the Switching Systems Theory - LAAS - Laboratoire d'Analyse et d'Architecture des Systèmes Accéder directement au contenu
Article Dans Une Revue Transactions of the Japan Society for Aeronautical and Space Sciences Année : 2018

A Minimum-Fuel Fixed-Time Low-Thrust Rendezvous Solved with the Switching Systems Theory

Résumé

In this paper, a fuel optimal rendezvous problem is tackled in the Hill-Clohessy-Wiltshire framework with several operational constraints as bounds on the thrust, non linear non convex and disjunctive operational constraints (on-off profile of the thrusters, minimum elapsed time between two consecutive firings...). An indirect method and a decomposition technique have already been combined in order to solve this kind of optimal control problem with such constraints. Due to a great number of parameters to tune, satisfactory results are hard to obtain and are sensitive to the initial condition. Assuming that no singular arc exists, it can be shown that the optimal control exhibits a bang-bang structure whose optimal switching times are to be found. Noticing that a system with a bang-bang control profile can be considered as two subsystems switching from one with control on to with control off, and vice-versa, a technique coming from the switching systems theory is used in order to optimise the switching times.

Domaines

Automatique
Fichier principal
Vignette du fichier
ArticleISSFD (1).pdf (440.13 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-01609252 , version 1 (16-10-2017)

Identifiants

Citer

Clément Gazzino, Denis Arzelier, Luca Cerri, Damiana Losa, Christophe Louembet, et al.. A Minimum-Fuel Fixed-Time Low-Thrust Rendezvous Solved with the Switching Systems Theory. Transactions of the Japan Society for Aeronautical and Space Sciences, 2018, ISTS Special Issue, 16 (7), pp.628-634. ⟨10.2322/tastj.16.628⟩. ⟨hal-01609252⟩
104 Consultations
24 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More