航天器燃料最优编队机动控制的解析方法  

Analytical Solutions to Fuel-Optimal Spacecraft Formation Maneuver

作　　者：龚德仁[1] 陈吉安[1] 段登平[1] 陈昌亚[2] 

机构地区：[1]上海交通大学,上海200240 [2]上海卫星工程研究所,上海200240

出　　处：《航天控制》2016年第1期37-44,共8页Aerospace Control

摘　　要：针对航天器燃料最优编队初始化、重构等机动展开研究,提出了一种解析控制方法。首先将编队机动问题从状态空间转换到构型参数空间进行分析,其次基于不等式约束分别得到轨道平面内、外运动的燃料消耗下界,进一步获得燃料最优时需要满足的条件和可行的燃料最优编队机动解析解,该解形式简单,计算量小。燃料消耗量取决于相对运动尺寸参数,而最优解的存在性取决于初始状态误差。数值仿真结果验证了所提方法的有效性和准确性。A new simple method is proposed for fuel-optimal spacecraft formation maneuver, including initialization and reconfiguration, and analytical solutions with optimal-suboptimal strategies are obtained. The method consists of two stages. Firstly, a new form of parameterization of formation maneuver state is developed for simplicity. Secondly, the out-of-plane and in-plane motion are separately studied as they are uncoupled. With the help of a useful inequality introduced and proved, the lower bound of the fuel consumption and the corresponding constraints of the the minimum total fuel consumption trol algorithm proven that the depends upon the proposed depends control forces are derived and obtained. The results show that on the relative size parameters and the existence of optimal con- the initial conditions. The numerical simulations of the two applications are method is valide and efficient.

关 键 词：航天器编队飞行 燃料最优机动 构型参数化 解析解 

分 类 号：V448.224[航空宇航科学与技术—飞行器设计]