Thispaper investigates the micro-satellite cluster long-distance gathering control problem including initialization, orbit maintenance and collision avoidance operations. This problem is formulated using absolute orbital elements and newly developed quadratic artificial potential function based on these elements. Incorporating with the artificial potential function, a distributed autonomous low-thrust control method is proposed to solve the cluster gathering problem. Comparing with the fuel-optimal control problem formulated by equations established in Cartesian coordinates, the proposed method demonstrates geometrical intuition and possesses a low-cost computation burden. These advantages make the proposed method more suitable for controlling micro-satellite clusters. The stability of the autonomous low-thrust control method is proved using the Lyapunov method. Additionally, a Monte Carlo analysis is applied to demonstrate both the effectiveness and the collision avoidance ability of the presented algorithm.

本文研究了微卫星群长距离采集控制问题，包括初始化，轨道维护和避免碰撞操作。这个问题是使用绝对轨道元素和基于这些元素的新开发的二次人工势函数来表述的。结合人工势函数，提出了一种分布式自主式低推力控制方法，解决了聚类问题。与在直角坐标系中建立的方程组所提出的燃料最优控制问题相比，该方法显示了几何直觉，并且具有低成本的计算负担。这些优点使所提出的方法更适合于控制微卫星簇。利用Lyapunov方法证明了自主低推力控制方法的稳定性。另外，应用蒙特卡洛分析来证明所提出算法的有效性和避免碰撞的能力。