Adaptive cooperative control for relative orbits of multi-satellite systems
多星系统相对轨道的自适应协同控制

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.