Fault tolerance analysis of spacecraft formation via impulsive dimension-varying switched system

This paper studies the spacecraft formation flying problem where the formation needs to switch among different shapes due to mission demands, the dimension of formation will change due to shape transition. The whole flying process is modeled as an impulsive state-varying system. Moreover, the state jump is also considered between switching instant. During the flying process, fault may occur unavoidable as a result of avoiding collision with other spacecraft and which makes Fault-Tolerant Control (FTC) particularly important. The stability condition and control scheme are derived, and the simulation results verify the effectiveness of the proposed method.