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Multiple spacecraft formation control with O-D Method

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3 Author(s)
Xin, M. ; Dept. of Areospace Eng., Mississippi State Univ., Starkville, MS ; Balakrishnan, S.N. ; Pernicka, H.J.

Formation control of multiple spacecraft flying in deep space about the L2 libration point is investigated. Dynamics of the spacecraft is formulated as a circular restricted three-body problem with Sun and Earth as the two primaries. A virtual structure (VS) concept is used as a framework for multiple spacecraft formation in which the centre of the virtual rigid body is assumed to follow a nominal orbit around the L2 libration point. Control is applied to each individual spacecraft so as to keep a constant relative distance from the centre of the VS. The relative formation dynamics is nonlinear and control of this system is carried out using a relatively new suboptimal control technique called as thetas-D technique. The thetas-D method provides approximate analytical solution to the Hamilton-Jacobi-Bellman equation. As it is a feedback control and in a closed form, it is implementable. Simulation results demonstrate that this controller is able to provide millimeter level formation flying accuracy

Published in:

Control Theory & Applications, IET  (Volume:1 ,  Issue: 2 )