This paper considers the problem of controlling both position and attitude states for a formation flying system using only thrusters. A coupled six degree of freedom position and attitude model is derived, where the coupling comes from the gravity gradient torque. Furthermore, the J₂ perturbation, mass variation, thruster model, and thruster layout are considered. A globally stable chattering free sliding mode robust controller is designed with respect to functional bounded uncertainties. Based on the studies of open-loop responses, the range of control parameters is properly selected to avoid thruster saturation. A genetic algorithm is then applied to select the controller parameters. Both position and attitude states in a formation are precisely and continuously controlled for more than two years without recharging, using the selected electronic ion engine.

中文翻译：

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考虑饱和度的六自由度卫星编队飞行的滑模控制与优化

本文考虑了仅使用推进器控制编队飞行系统的位置和姿态状态的问题。推导了耦合的六自由度位置和姿态模型，其中耦合来自重力梯度转矩。此外，J ₂考虑了扰动，质量变化，推进器模型和推进器布局。针对功能有限的不确定性，设计了一种全局稳定的颤振自由滑模鲁棒控制器。基于开环反应的研究，控制参数的范围内适当选择，以避免推进器饱和。然后应用遗传算法来选择控制器参数。使用选定的电子离子引擎，可以在不进行充电的情况下精确连续地控制地层中的位置和姿态状态超过两年。