In order to address the cooperative control problem of using spacecraft formation approaching and close flying around the non-cooperative target, a distributed prescribed performance control method based on the fully-actuated system theory is proposed in consideration of external interference and unexpected orbital maneuvers. First, A relative dynamic model is established between the service spacecraft formation and the non-cooperative target based on the line-of-sight coordinate system, and the fully-actuated control law is constructed to reduce the complexity of controller design. Furthermore, a distributed agreed-time pre-scribed performance controller is designed using topology theory to ensure the control performance of the spacecraft formation around the target. In addition, an extended state observer is employed to observe and compensate for the uncertainties and dis-turbances in the system, thereby improving the control precision of the spacecraft formation around the target. Finally, the effec-tiveness of the designed control method is verified by two sets of flying around simulation.
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