“…Spacecraft formation hovering is defined as the follower keeping a constant position relative to the leader, thus being in an equilibrium state [1,2]. Compared to formation reconfiguration [3,4] and satellite constellation [5], such a hovering strategy is more convenient for space exploration and provides higher resolution observation and measurement [6,7]. Most of the existing control schemes presented for formation hovering, whether open- [8] or closed-loop ones [9], are based on the fully-actuated dynamics [10].…”
This paper develops a synchronization control scheme for underactuated spacecraft formation hovering in the case without along-track thrust. The feasible sets of initial positions for this underactuated case are derived based on the nonlinear and linear relative orbital dynamics. Then, a nonpreset parameter underactuated controller is designed to deal with the unmatched disturbances caused by the loss of alongtrack control. Moreover, a synchronization item is added to the above controller to synchronize the hovering motion between the follower spacecraft. The Lyapunov-based analysis indicates that the minimum nonzero eigenvalue of the Laplace matrix corresponding to the synchronization item determines the stable hovering accuracy of the system states. Numerical simulations also demonstrate the validity of the presented underactuated synchronization controller.
“…Spacecraft formation hovering is defined as the follower keeping a constant position relative to the leader, thus being in an equilibrium state [1,2]. Compared to formation reconfiguration [3,4] and satellite constellation [5], such a hovering strategy is more convenient for space exploration and provides higher resolution observation and measurement [6,7]. Most of the existing control schemes presented for formation hovering, whether open- [8] or closed-loop ones [9], are based on the fully-actuated dynamics [10].…”
This paper develops a synchronization control scheme for underactuated spacecraft formation hovering in the case without along-track thrust. The feasible sets of initial positions for this underactuated case are derived based on the nonlinear and linear relative orbital dynamics. Then, a nonpreset parameter underactuated controller is designed to deal with the unmatched disturbances caused by the loss of alongtrack control. Moreover, a synchronization item is added to the above controller to synchronize the hovering motion between the follower spacecraft. The Lyapunov-based analysis indicates that the minimum nonzero eigenvalue of the Laplace matrix corresponding to the synchronization item determines the stable hovering accuracy of the system states. Numerical simulations also demonstrate the validity of the presented underactuated synchronization controller.
“…Other mission scenarios, consisting in the use of a spacecraft formation system for asteroid deflection [9][10][11][12], require an advanced (onboard) autonomous formation flying control system. In fact, from an operational standpoint, it is preferable to deploy a formation along suitable hovering [13] or periodic orbits [14,15] around the target asteroid in order to initiate the asteroid gravity database and to chart a local geomorphologic map. When multiple spacecraft operate in close proximity, a (virtual) synthetic aperture radar can be ideally assembled [16] to improve the resolution of stereoscopic images, with a substantial reduction of the overall mission cost.…”
wei wang mail.tsinghua.edu.cn. † Professor, g.mengali ing.unipi.it. Senior Member AIAA. ‡ Professor, a.quarta ing.unipi.it. Associate Fellow AIAA § Professor, baoyin tsinghua.edu.cn. Senior Member AIAA (corresponding author).