This paper considers the problem of relative position control for multiple spacecraft formation flying. Specifically, nonlinear dynamics describing the motion of a follower spacecraft relative to a leader spacecraft are developed for the case where the leader spacecraft is in an elliptical orbit. Next, a Lyapunov-based nonlinear, adaptive control law is designed which guarantees global asymptotic convergence of the position tracking error in the presence of unknown, constant or slow-varying spacecraft masses and exogenous disturbance forces. In addition, a formation initialization constraint is developed for the ideal, unperturbed, periodic relative motion of the spacecraft formation which serves as a desired, relative motion trajectory. Simulation results are provided to illustrate the efficacy of the formation initialization methodology and the adaptive controller performance.
|Original language||English (US)|
|Title of host publication||Advances in the Astronautical Sciences|
|Number of pages||15|
|State||Published - 2000|
ASJC Scopus subject areas
- Aerospace Engineering