文章基本信息

标题：Linearized Impulsive Fixed-Time Fuel-Optimal Space rendezvous: A New Numerical Approach
本地全文：下载
作者：Denis Arzelier ; Florent Bréhard ; Norbert Deak 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：17
页码：373-378
DOI：10.1016/j.ifacol.2016.09.064
语种：English
出版社：Elsevier
摘要：This paper focuses on the fixed-time minimum-fuel rendezvous between close elliptic orbits of an active spacecraft with a passive target spacecraft, assuming a linear impulsive setting and a Keplerian relative motion. Following earlier works developed in the 1960s, the original optimal control problem is transformed into a semi-infinite convex optimization problem using a relaxation scheme and duality theory in normed linear spaces. A new numerical convergent algorithm based on discretization methods is designed to solve this problem. Its solution is then used in a general simple procedure dedicated to the computation of the optimal velocity increments and optimal impulses locations. It is also shown that the semi-infinite convex programming has an analytical solution for the out-of-plane rendezvous problem. Different realistic numerical examples illustrate these results.
关键词：Impulsive optimal controlelliptic rendezvousprimer vectorsemi-infinite convex programmingdiscretization methods