Distributed Finite-Time Control Method for Formation Flying

In this paper,a dynamic model of single spacecraft is simulated by a double integrator and the communication topology is assumed fixed. Based on the information exchanges among neighbors,the distributed finite-time control protocol is designed and mathematically verified. Adopt the presented control protocol and combined with virtual structure and hierarchical protocol,the formation algorithm is designed,where in a group spacecraft on a lower level takes orders from spacecraft on a higher level. The numerical simulation is conducted,verifying the effectiveness of the proposed method.