H∞ Time-Varying Formation Control of Multiple Spacecraft System

This paper discusses the problem of time-varying formation control for multiple spacecraft while achieving H
∞
performance. Firstly, an elaborate formation task function is designed by using estimator-based null-space based behavioral control method, and a predesigned desired velocity is calculated for each spacecraft. Then by employing backstepping technique associated with the universal approximation property of radial basis function neural networks (RBFNN), an adaptive H
∞
coordination control scheme is presented to drive all the spacecraft to implement the time-varying formation task in switching communication graph. Finally, rigorous theoretical analysis shows that the proposed algorithm implements the time-varying formation task successfully with H
∞
performance