Optimal periodic controller for formation flying on libration point orbits

Optimal control of loose spacecraft formations near libration points with collision avoidance

“…The motion of the controlled follower spacecraft can be described by the nonlinear equations shown in (1-3) obviously. However, it is noted that the scale of Halo orbits is 10 5 km [7,[18][19][20]26] while the mutual distance of the leader spacecraft and follower spacecraft may be chosen on the order of several kilometers [26]. As a result, the scale of mutual distance between the leader and follower spacecrafts is much smaller than the scale of the Halo orbit, and then, the linearization techniques can be implemented.…”

“…On the other hand, we are mainly interested in the relative positions of follower spacecrafts with respect to the leader spacecraft. Thus, for the sake of the simplicity of derivation and saving computational consumption, linearized equations of relative motion between the leader and follower spacecraft adopted by many studies [19,20,26] will also be utilized in this paper.…”

“…The detailed expression of the elements of above matrix A can be found in the Appendix section of [26], and it is noted that the reference orbit X r in [26] should be X c in this study since the trajectory of the leader is acted as reference motion. As stated earlier, the follower spacecraft is constrained to be moved in a sphere surface with its center at the trajectory of the leader spacecraft.…”

Linear and nonlinear control strategies for formation and station keeping of spacecrafts within the context of the three body problem

“…Kumar [25] have also studied the spacecraft formation control at L 2 using solar radiation pressure. Peng et al [20] utilized periodic optimal control to stabilize station and formation keeping of periodic orbits around the libration point with continuous low thrust. Similarly, Park and Choi [19] Earth orbiting satellites using LQR control and compared their result with those of linear parameter varying (LPV) controls.…”

Robust optimal sliding mode control for spacecraft position and attitude maneuvers

“…Rendezvousing and docking, capturing of inoperative spacecraft and formation flying ( [1], [2]) are the typical scenarios where such systems can be applied. These space missions require a spacecraft to perform large angle slews or complicated translational motion.…”