Polynomial optimization for the solution of fuel-optimal impulsive rendezvous using primer vector theory

Mounir Kara-Zaitri; Denis Arzelier; Akin Delibasi; Christophe Louembet

doi:10.1109/CDC.2010.5717372

Polynomial optimization for the solution of fuel-optimal impulsive rendezvous using primer vector theory

Mounir Kara-Zaitri, Denis Arzelier, Akin Delibasi, Christophe Louembet

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding › peer-review

1 Citation (Scopus)

Abstract

In this paper, the optimal fuel impulsive time-fixed rendezvous problem is considered. Under some simplifying assumptions, this problem may be recast as a non convex polynomial optimization problem. A numerical solving algorithm using a convex relaxation based on sum-of-squares representation of positive polynomials is proposed. Numerical results are evaluated on the PRISMA technology in-orbit formation flying testbed mission.

Original language	English
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Publisher	IEEE
Pages	352-357
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717372
Publication status	Published - 22 Feb 2011
Externally published	Yes
Event	2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States Duration: 15 Dec 2010 → 17 Dec 2010

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0191-2216

Conference

Conference	2010 49th IEEE Conference on Decision and Control, CDC 2010
Country/Territory	United States
City	Atlanta, GA
Period	15/12/10 → 17/12/10

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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10.1109/CDC.2010.5717372

Cite this

Kara-Zaitri, M., Arzelier, D., Delibasi, A., & Louembet, C. (2011). Polynomial optimization for the solution of fuel-optimal impulsive rendezvous using primer vector theory. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 352-357). [5717372] (Proceedings of the IEEE Conference on Decision and Control). IEEE. https://doi.org/10.1109/CDC.2010.5717372

Polynomial optimization for the solution of fuel-optimal impulsive rendezvous using primer vector theory. / Kara-Zaitri, Mounir; Arzelier, Denis; Delibasi, Akin; Louembet, Christophe.

2010 49th IEEE Conference on Decision and Control, CDC 2010. IEEE, 2011. p. 352-357 5717372 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding › peer-review

Kara-Zaitri, M, Arzelier, D, Delibasi, A & Louembet, C 2011, Polynomial optimization for the solution of fuel-optimal impulsive rendezvous using primer vector theory. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717372, Proceedings of the IEEE Conference on Decision and Control, IEEE, pp. 352-357, 2010 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, GA, United States, 15/12/10. https://doi.org/10.1109/CDC.2010.5717372

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AB - In this paper, the optimal fuel impulsive time-fixed rendezvous problem is considered. Under some simplifying assumptions, this problem may be recast as a non convex polynomial optimization problem. A numerical solving algorithm using a convex relaxation based on sum-of-squares representation of positive polynomials is proposed. Numerical results are evaluated on the PRISMA technology in-orbit formation flying testbed mission.

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Polynomial optimization for the solution of fuel-optimal impulsive rendezvous using primer vector theory

Abstract

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ASJC Scopus subject areas

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