|
|
论文:2023,Vol:41,Issue(3):529-536 |
|
|
引用本文： |
|
|
谢尔盖·伊斯科夫, 格里果利·菲利波夫, 周晓, 王长青. 帕累托-有限推力航天器轨道机动问题中相对运动的最优控制[J]. 西北工业大学学报 |
|
|
ISHKOV S A, FILIPPOV G A, ZHOU Xiao, WANG Changqing. Pareto-optimal control of relative motion in the orbital maneuvering problem of spacecraft with finite thrust[J]. Journal of Northwestern Polytechnical University |
|
|
|
|
|
|
|
| 帕累托-有限推力航天器轨道机动问题中相对运动的最优控制 |
|
| 谢尔盖·伊斯科夫1, 格里果利·菲利波夫1, 周晓1, 王长青2 |
|
1. 萨马拉大学, 俄罗斯 萨马拉 443086;
2. 西北工业大学, 陕西 西安 710072 |
| 摘要: |
| 针对时间自由的两航天器交会问题，考虑了在轨道圆柱参考系中线性运动模型的相对运动轨迹的多准则优化。得到了描述相对运动的长期参数和周期参数方程。详细研究了具有有限横向推力的纵向运动控制变体的标称控制程序结构，并获得了解析解。开发了一种求解任意边界条件和推力控制加速度值的帕累托最优控制程序在标准空间（机动时间、总时间）中的算法。该算法中，使用帕累托最优方法，实现了多目标的优化（总时间最优，燃料最优），给出了地球静止轨道平面上参数校正变体的数值计算结果。 |
| 关键词:
航天器交会
最优控制
横向推力
帕累托最优
|
|
| Pareto-optimal control of relative motion in the orbital maneuvering problem of spacecraft with finite thrust |
|
| ISHKOV S A1, FILIPPOV G A1, ZHOU Xiao1, WANG Changqing2 |
|
1. Samara University, Samara 443086, Russia;
2. Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| To solve the time-free rendezvous problem of two spacecraft, the multi-criteria optimization of the relative motion trajectory of the linear motion model in an orbiting cylindrical reference frame is studied. The equations for describing the secular and periodic parameters of the relative motion are obtained. The structure of the nominal control program for the longitudinal motion control variant with finite transversal thrust is investigated in some detail, and its analytical solutions are obtained. An algorithm for solving the Pareto-optimal control program for arbitrary boundary conditions and thrust control acceleration values in the standard time including maneuver time and total time is developed. The algorithm uses the Pareto optimal method to achieve two kinds of multi-objective optimization (total time optimization and fuel optimization). The numerical calculation results on the geostationary planar orbit parameter correction variants are given. |
| Key words:
spacecraft rendezvous
optimal control
transversal thrust
Pareto optimal control
|
|
| 收稿日期: 2022-07-18
修回日期:
|
| DOI: 10.1051/jnwpu/20234130529 |
| 基金项目: 中央高校基本科研业务费（D5000220031）及陕西省国际科技合作计划项目重点项目（2023-GHZD-32）资助 |
| 通讯作者:
Email： |
| 作者简介: 谢尔盖·伊斯科夫(1957—),萨马拉大学教授,主要从事航天器的运动与控制研究。e-mail:ishkov@ssau.ru
|
|
|
|
|
|
|
|
参考文献: |
|
|
[1] KRASIL'SHCHIKOV M N, MALYSHEV V V, FEDOROV A V. Autonomous implementation of dynamic operations in a geostationary orbit.I.Formalization of control problem[J]. Journal of Computer and Systems Sciences International, 2015, 54(6):916-930
[2] VOISKOVSKII P, KOZOREZ D A, KRASIL'SHCHIKOV M N, et al. Autonomous navigation during the final ascent of a spacecraft into the geostationary orbit. ii. simulation of operation of an integrated autonomous sc navigation and control system[J]. Journal of Computer and Systems Sciences International, 2016, 55(5):785-795
[3] APPAZOV R F, SYTIN O G. Methods of designing trajectories of carriers and satellites of the earth[M]. Moscow:Science Moscow Izdatel Nauka, 1987:225-227
[4] KONSTANTINOV M S. Mechanics of space flight[M]. Moscow:Izdatel'stvo Mashinostroenie, 1989:179-181
[5] ELLYASBERG P E. Introduction to the theory of flight of artificial earth satellites[M]. Italiana:Memorie della Societa Astronomica, 1969:41-42
[6] ISHKOV S A. Convergence of spacecraft with low thrust in circumferential orbits[J]. Space Exploration, 1992, 30(2):165-179
[7] ISHKOV S A, KHRAMOV A A, FILIPPOV G A. Formation algorithms of sequential control for spacecraft rendezvous with low-thrust[C]//AIP Conference Proceedings, 2018 |
|
|
|
|
|
|
|
