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本文研究了圆轨道卫星编队飞行构型重构的燃料最优控制问题。首先根据编队卫星动力学模型,对轨道坐标系中三种发动机安装模式的能控性进行了分析,发现仅在沿迹向和法向安装发动机就可以实现对编队卫星构型的控制。然后基于哈密顿原理进行最优控制。计算结果表明,该方法在求解过程中不需要求解基解矩阵的逆,大大简化了计算,可以实现编队飞行构型重构,具有不需考虑卫星径向发动机的工作状态,有效节省燃料的优点。
In this paper, the optimal fuel control of circular orbit satellite formation flight reconfiguration is studied. First of all, based on the formation dynamics model, the controllability of the three engine mounting modes in the orbital coordinate system is analyzed. It is found that the control of the formation satellite configuration can be achieved only by installing the engine along the track and the normal direction. Then the optimal control based on Hamilton principle. The calculation results show that this method does not need to solve the inverse of the base solution matrix in the process of solving, greatly simplifying the calculation, and can reconstruct the formation flight configuration. The method has the advantages of saving fuel without considering the radial radial engine working state .