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This paper addresses the tracking control problem of the leader–follower spacecraft formation, by which we mean that the relative motion between the leader and the follower is required to track a desired time-varying trajectory given in advance. Using dual number, the six-degree-of-freedom motion of the follower spacecraft relative to the leader spacecraft is modeled, where the coupling effect between...
Control of relative position and orientation are usually split into two parts in rendezvous and docking missions. It is simple but not precise enough. Based on dual number, this paper derives coupled dynamics equations of two spacecrafts in which the coupling effect of relative position and orientation is indicated. Furthermore, an incremental PID control law is designed to control the coupled system...
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