Abstract
In this paper, relative attitude and position coupling 6-DOF of spacecraft formation finite-time distributed control problem is investigated. The dynamics of each spacecraft consisting of attitude and relative translational dynamics are mod-eled into a unified Euler-Lagrange formulation. The formation consists one leader which is virtual and n spacecraft, and the information exchanging among the formation is described by the directed graph. A distributed coordination control protocol is proposed to guarantee the finite time stability of the spacecraft formation considering external disturbances based on the modified nonsingular terminal sliding mode. The stability analysis of the developed control algorithm is conducted through Lyapunov method. Finally, through numerical simulations and results of four spacecraft illustrated the effectiveness of the proposed protocol.
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