拉格朗日点附近编队的离散控制方法

由于拉格朗日点的独特空间位置，它附近的编队研究对深空探测有着很重要的意义。讨论了日地系统拉格朗日点附近编队的脉冲控制方法，给出了一种简单的实现编队的迭代算法。基于该算法，讨论了两种不同控制策略。根据编队任务的特点，定义了几个与编队误差和能量消耗相关的性能指标。通过仿真圆形编队算例，对两种策略进行了比较分析。结果表明策略二无论在消耗能量方面还是在误差控制方面都优于策略一。对于策略二，当脉冲间隔一定时，能量消耗随编队半径的增加线性增加。当编队半径一定时，误差随脉冲间隔的减小呈指数减小，而能量消耗随脉冲的变化很小。

Discrete Control Method for the Formation Flying Around Lagrange Point

The formation flying around Lagrange points will benefit deep space exploration greatly due to the special location of the Lagrange points. The paper investigated the discrete control method for the formation flying around the Lagrange point. First, a simple iterative algorithm, which could calculate the control quantity, was given. Based on this algorithm, two control strategies were introduced. Then, several performance indexes related to formation error and energy consumption were defined. By simulating the circular formation flying examples, two strategies are compared and analyzed. The simulation results show that strategy two superior to strategy one either in energy consumption or in error control. For strategy two, the energy consumption increases with formation radius when the impulse time span is fixed. When the formation radius is fixed, the formation error decrease with the impulse time span exponentially. But the energy consumption changes slightly with the impulse time span.