多星系统相对轨道的自适应协同控制

基于一致性理论,在无向拓扑结构上对多星系统相对轨道的协同控制问题进行了研究.本文考虑近地卫星相对轨道的非线性方程,首先设计控制律使得多星系统形成目标队形,并给出了速度阻尼和通信拓扑(相对速度间的拓扑关系)连通性之间的关系;其次,针对卫星质量具有不确定性的情形,设计了新的辅助变量,提出了自适应的协同控制律,这里要求传感(相对位置间的拓扑关系)和通信具有相同的拓扑结构.最后对4颗卫星的编队飞行进行了仿真分析,仿真结果表明本文设计的协同控制律是有效可行的.

Adaptive cooperative control for relative orbits of multi-satellite systems

Based on the consensus theory, the cooperative control for relative orbits of a multi-satellite system is investigated under a general undirected topology. We consider the nonlinear equations for the relative obits of near-earth satellites. Control algorithms are developed for the multi-satellite system to fly in a desired formation pattern; the relation between the velocity damping and the connectivity of communication topology is given. To deal with the uncertainty of the satellite mass, we employ auxiliary variables and propose an adaptive control law with identical topology in sensing and communication. Simulation results of the formation flight of four satellites are provided to show the effectiveness of the proposed control schemes.