卫星编队的多脉冲队形重构方法

李保军; 师 鹏; 张 皓; 赵育善

卫星编队的多脉冲队形重构方法

北京航空航天大学宇航学院, 北京 100191

详细信息

作者简介:
李保军(1981-),男,山东德州人,博士生,Lib@sa.buaa.edu.com.

中图分类号: V 412.4
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- 被引次数: 0
出版历程
- 收稿日期: 2008-06-27
- 网络出版日期: 2009-08-31

Satellites formation reconfiguration with multiple impulses

School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

摘要: 主要研究了椭圆轨道燃料消耗最优的多脉冲编队队形重构问题.首先,基于Lawden方程的解析解,推导了多脉冲机动的数学模型.然后构造燃料最优目标函数,将总脉冲写成关于各脉冲作用时间和前n-2次脉冲大小的函数.然后利用遗传算法对问题进行求解,将结果转换到时间域,确定最终各脉冲的大小、方向和作用时间.最后进行了数学仿真,验证了算法的正确性.
- 编队飞行 /
- 队形重构 /
- 多脉冲
Abstract: Satellite formation flying (SFF) reconfiguration using multiple impulses was studied, which was mainly focusing on fuel efficiency.The elliptic reference orbit was considered. First the mathematical description of multiple-burn maneuver was established based on the analytical solution of the Lawden equation. Then object function was constructed as the total fuel which took the form as function of the imposing time and the magnitude of the previous n-2 burns, followed with the problem being solved utilizing the genetic algorithm. Finally the result was transferred into time domain to determine the magnitude, direction and imposing time of each of the impulse vectors. The simulation shows that the algorithm presented could lead to a more efficient method to implement the SFF reconfiguration.
- formation flying /
- reconfiguration /
- multiple impulses

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参考文献(1)

[1] Kapila V, Sparks A G, Buffington J M, et al. Spacecraft formation flying: dynamics and control [J]. Journal of Guidance, Control and Dynamics, 2000, 23(3): 561-564 [2] 林来兴.分布式空间系统和航天器编队飞行辨析[J].航天器工程,2008, 17(4):24-29 Lin Laixing. Study on distributed space systems and spacecraft formation flying [J]. Spacecraft Engineering, 2008, 17(4):24-29(in Chinese) [3] Ichimura Y, Ichikawa A. Optimal impulsive relative orbit transfer along a circular orbit [J]. Journal of Guidance, Control and Dynamics, 2008,31(4):1014-1027 [4] 孟云鹤,韩宏伟,戴金海. 近地轨道航天器编队构形重构的一种四冲量控制方法[J].宇航学报, 2008, 29(2):505-510 Meng Yunhe, Han Hongwei, Dai Jinhai. A four-impulses control method for reconfiguration of LEO spacecraft formation flying[J]. Journal of Astronautics, 2008, 29(2):505-510(in Chinese) [5] Vaddi S S, Alfriend K T,Vadali S R. et al. Formation establishment and reconfiguration using impulsive control [J]. Journal of Guidance, Control and Dynamics,2005, 28(2):262-268 [6] Lawden D F. Optimal trajectories for space navigation[M]. London: Butterworths, 1963 [7] Carter T E. New form for the optimal rendezvous equations near a keplerian orbit[J]. Journal of Guidance, Control, and Dynamics, 1990, 13(1): 183-186 [8] 崔海英,李俊峰,高云峰.基于Lawden方程的理想编队队形设计[J].清华大学学报(自然科学版),2006,46(2):271-275 Cui Haiying, Li Junfeng, Gao Yunfeng. Ideal relative trajectories design based on Lawden-s equations[J]. Journal Of Tsinghua University(Science & Technology), 2006, 46(2):271-275(in Chinese) [9] Yamanak K, Ankersen F.New state transition matrix for relative motion on an arbitrary elliptical orbit[J]. Journal Of Guidance, Control, and Dynamics, 2002, 25(1):60-66

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