Abstract: As to satellite formation keeping moving on low orbit in the influence of nonlinearity, subordinative satellite orbit may drift related to reference orbit, initial error of orbit drift can be restrained by traditional Lyapunov controller, which makes the system stable, but the large shock error can’t be removed. This thesis introduces a multilooped structure for satellite formation keeping, the ruler which can satisfy Lyapunov stability is set in inner loop, an outer LQR state adjuster added on Lyapunov controller is introduced, this inner and outer loop controller can restrain subordinative satellite drift of orbit related to reference orbit, which can keep satellite formation stable. Finally, numerical results show that the two inner and outer loop controller can satisfy the actual require.

Key words: satellite formation, nonlinearity, Lyapunov stability, error state adjuster