Approximate semi-analytical optimal reconfiguration control for nonlinear relative motion

Jing Cao, Hengnian Li, Jianping Yuan

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

Traditional analytical methods used to solve the energy optimal reconfiguration problem governed by the linear relative motion equations are not applicable to solve that governed by relative motion equations considering the eccentricity of the reference orbit, J2 perturbation and the nonlinear terms of the differential gravity at the same time. A semi-analytical method using the perturbation approach and double time layers spline integral is proposed in this paper. The augmented relative motion equations including the state and costate equations can be divided into a fundamental equation and a perturbed equation. Using the perturbation approach, an approximate analytical optimal reconfiguration control law can be obtained. Since the state and costate transition matrices are not analytical, the double time layers spline integral is explored to evaluate the key integrals in the optimal control law. Thus, an approximate semi-analytical optimal reconfiguration control law is obtained. Finally, numerical simulations are performed for satellite reconfiguration cases on elliptical reference orbit to validate the effectiveness and advantages of the optimal control law obtained in this paper. Results show that the reconfiguration precision under the optimal control law considering both J2 perturbation and the nonlinear terms of the differential gravity is much higher than those are not considered. Furthermore, the corresponding optimal reconfiguration trajectory can be used in closed-loop reconfiguration control, which has potential to save fuel in satellite formation reconfiguration mission.

源语言英语
主期刊名66th International Astronautical Congress 2015, IAC 2015
主期刊副标题Space - The Gateway for Mankind's Future
出版商International Astronautical Federation, IAF
5899-5907
页数9
ISBN(电子版)9781510818934
出版状态已出版 - 2015
活动66th International Astronautical Congress 2015: Space - The Gateway for Mankind's Future, IAC 2015 - Jerusalem, 以色列
期限: 12 10月 201516 10月 2015

出版系列

姓名Proceedings of the International Astronautical Congress, IAC
8
ISSN(印刷版)0074-1795

会议

会议66th International Astronautical Congress 2015: Space - The Gateway for Mankind's Future, IAC 2015
国家/地区以色列
Jerusalem
时期12/10/1516/10/15

指纹

探究 'Approximate semi-analytical optimal reconfiguration control for nonlinear relative motion' 的科研主题。它们共同构成独一无二的指纹。

引用此