中文摘要：

研究深空中包含位置和姿态的航天器编队控制问题.由于航天器之间通信缺乏足够的通信链,造成效率不高,成本加大.采用图论的方法描述编队中航天器间的通信并给出一个控制算法,运用Lyapunov稳定性理论证明编队在给定控制算法下的稳定性.得到的控制器仅仅要求相邻的航天器之间保持信息交换,减少了整个航天器网络的通信.数值仿真结果验证了控制算法的有效性,为深空航天器编队优化提供了依据.

英文摘要：

This paper considerd the formation control problems of spacecraft formation flying in deep space. The communication links among spacecraft in the formation were represented by graph theory and a control algorithm was given. The stability of the whole formation under the proposed controller was proved by Lyapunov theorem. The con troller only requires the communication links between the neighboring spacecraft and therefore reduces the whole com munication costs of the formation. Simulation results demonstrate the effectiveness of the proposed controller.