Naval Aviation University
A control method based on variables substitute and matrix decomposition is proposed for group attitude coordinated control of multi-spacecraft with directed switching topologies. Firstly, it provides the properties of the eigenvalues of the Laplacian matrix. Secondly, variables in spacecraft attitude model is substitued, which turns the group attitude coordinated control problem of a nonlinear system into group consensus problem of a linear system, and then it is turned into the stability problem of a switched linear system by decomposing the Laplacian matrix. It is analyzed by the Lyapunov stability theory, and the minimum dwell time is presented. Simulation is carried out on a system with two subgroups, and the effectiveness of the method proposed is demonstrated.