摘要
针对仅能提供单轴推力的卫星轨道机动的快速性问题,提出了一种利用高斯伪谱法来求解最优控制问题的方法.通过引入"虚拟卫星"的概念,将卫星轨道机动问题转化为实际卫星与虚拟卫星的软交会问题.建立了相对运动方程,以机动时间为性能指标,利用高斯伪谱法将最优控制问题转化为非线性规划问题,避开了求解两点边值问题的困难.通过使用MATLAB优化工具箱求解得到最优轨迹.结果表明,高斯伪谱法针对多约束、非线性强耦合方程,求解速度快,精度高,对初值选取不十分敏感,寻优能力强,且具有一定的鲁棒性.
A Gauss pseudo-spectral method is proposed to solve optimal control problem for satellite rapid orbital maneuver, in which only one axis thruster is provided under the finite thrust. The concept of ＂virtual satellite＂ transforms the orbital maneuver of satellite into the soft rendezvous of the satellite and virtual satellite. The relative motion equations are then formulated and the maneuver time is selected as cost function for the optimal control problem, which is transformed to a nonlinear programming problem by using the Gauss pseudo-spectral method. This approach avoids the difficulties in solving boundary value problem. Finally, the optimal trajectory is solved by using MATLAB optimization toolbox. The results show that the Gauss pseudo- spectral method is very effective for solving the multiple constrained nonlinear strongly coupled equations, and it isn＇t very sensitive to initial data and has certain robustness.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2013年第7期13-17,共5页
Journal of Harbin Institute of Technology
基金
国家自然科学基金资助项目(61004072
61273175)
教育部新世纪优秀人才计划资助项目(NCET-11-0801)
黑龙江省青年基金资助项目(QC2012C024)
关键词
高斯伪谱法
虚拟卫星
轨道机动
时间最优
Gauss pseudo-spectral method
virtual satellite
orbital maneuver
time optimal
