论文标题
基于被动性的分布式采集和电站保存控制卫星星座的静态轨道
Passivity-based distributed acquisition and station-keeping control of a satellite constellation in areostationary orbit
论文作者
论文摘要
我们提出了分布式的控制法，将一组卫星组装成一个围绕行星所需的圆形轨道的平面星座。我们假设每个卫星仅使用本地信息，该信息通过与相邻卫星的通信链接传输。在存在干扰力的情况下，使用相同的控制定律来维持相对角度的位置。星座在所需的轨道中的稳定性通过组成方法证明。我们首先显示了互连系统平衡的存在和唯一性。然后，我们证明每个卫星，通信链接与相应的存储功能是均衡的被动。通过利用星座的偏斜对称耦合结构和每个子系统的平衡无关的被动性特性，我们表明互连系统的平衡稳定，具有由单个子系统存储功能组成的lyapunov函数。我们进一步证明，每个卫星的角速度都会收敛于维持圆形的固定轨道所需的所需值。最后，我们提出了仿真结果，以证明拟议的控制定律在采集和维护站点卫星星座在静态轨道中的疗效，尽管存在未建模的干扰力。
We present a distributed control law to assemble a cluster of satellites into an equally-spaced, planar constellation in a desired circular orbit about a planet. We assume each satellite only uses local information, transmitted through communication links with neighboring satellites. The same control law is used to maintain relative angular positions in the presence of disturbance forces. The stability of the constellation in the desired orbit is proved using a compositional approach. We first show the existence and uniqueness of an equilibrium of the interconnected system. We then certify each satellite and communication link is equilibrium-independent passive with respective storage functions. By leveraging the skew symmetric coupling structure of the constellation and the equilibrium-independent passivity property of each subsystem, we show that the equilibrium of the interconnected system is stable with a Lyapunov function composed of the individual subsystem storage functions. We further prove that the angular velocity of each satellite converges to the desired value necessary to maintain circular, areostationary orbit. Finally, we present simulation results to demonstrate the efficacy of the proposed control law in acquisition and station-keeping of an equally-spaced satellite constellation in areostationary orbit despite the presence of unmodeled disturbance forces.
