Abstract:

For the formation flying control system with ellipse reference orbit，based on Hamilton-Jacobi equations, a new computation approach of generating functions is presented. Meanwhile, the linear state transformation matrix of the relative motion model for formation flying is derived and model precision has been verified. On the basis of above work, combining on a special task of the formation flying, the closed loop controller for formation keeping is presented based on linear programming algorithm.

Key words: formation , flying,  , Hamilton-Jacobi , equations,  , linear , programming,  , impulsive , control,  , generating , functions