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针对卫星编队一主多从结构的相对轨迹、姿态的协同控制问题,提出了一种基于Lyapunov方法的编队飞行协同控制策略。该控制策略将分布式控制思想引入卫星编队飞行的相对轨迹、姿态的动力学系统中,使各从星保持编队构型的同时沿期望轨迹相对主星绕飞。从理论上证明了系统的渐近稳定以及对外部干扰的抑制,并基于一致性算法理论定量地分析了通信拓扑结构为有向图情况下控制器参数的选择范围。此外,利用星星间的相对位置信息确定各从星的期望姿态和角速度,以确保对卫星编队进行姿态协同控制,达到跟踪同步的目的。最后将提出的算法应用于卫星三角形编队飞行的协同控制,仿真结果表明该方法的可行性与有效性,具有潜在的应用前景。
A coordinated flight control strategy based on Lyapunov method is proposed for the coordinated control of the relative trajectory and attitude of the satellite formation. This control strategy introduces the distributed control idea into the kinematics system of relative orbit and attitude in satellite formation flight, so that each sub-star orbits around the desired trajectory relative to the main star while maintaining formation formation. The asymptotic stability of the system and the suppression of external disturbances are theoretically proved. Based on the consistency algorithm theory, the range of controller parameters in the case of a directed topology is quantitatively analyzed. In addition, the relative position information of the stars is used to determine the expected attitude and angular velocity of each satellite to ensure the coordinated formation control of the satellite formation, so as to achieve the purpose of tracking synchronization. Finally, the proposed algorithm is applied to the coordinated control of satellite delta formation flight. The simulation results show that the method is feasible and effective and has potential application prospects.