摘要
基于考虑地球非球形摄动的分布式卫星相对运动Hamilton力学模型和生成函数方法研究分布式卫星构形最优控制问题,针对生成函数法的高计算开销,提出了生成函数近似迭代方法。先以较低的计算代价,获得最优控制Hamilton系统生成函数的低阶近似,得到近似最优轨线,再将最优控制Hamilton系统相对于近似最优轨线求"相对运动",该"相对运动"仍具有Hamilton性质,利用其生成函数的低阶近似,对近似最优轨线进行迭代修正,从而以计算代价较小的低阶近似逼近计算代价高得多的高阶近似的精度。对圆参考轨道和椭圆参考轨道下的两种分布式卫星构形调整最优控制问题的求解表明,该方法在保持小计算开销情况下达到了高控制精度。
Optimal control of Distributed Satellite System （DSS） formation was investigated. Hamilton Mechanics of DSS relative motion including non-spherical perturbation and the method of generating functions were utilized. To overcome the difficulty of high computation cost of the method of generating functions, an iterative generating function approximation method was proposed to solving the two-point boundary value problem induced by optimal control problem. First, low order approximation of generating function and approximate optimal trajectory were obtained. Then using low order approximation of generating function of Hamilton “relative motion” to the approximate optimal trajectory, improvement of the approximate optimal trajectory was iteratively made. In this way, high order approximation accuracy can be obtained by ordy using low order approximation, which is much cost effective in computing. Solving of a circular reference orbit problem and an elliptical reference orbit problem both reveals that high control precision is reached, while only low computation cost is needed.
出处
《宇航学报》
EI
CAS
CSCD
北大核心
2009年第3期988-993,999,共7页
Journal of Astronautics
基金
国家自然科学基金(10802094)
