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APPLICATION OF HAMILTONIAN STRUCTURE-PRESERVING CONTROL TO CLUSTER FLIGHT FOR FRACTIONATED SPACECRAFT ON AN ELLIPTIC ORBIT

机译:哈密​​顿结构保留控制在椭圆轨道上碎裂空间簇群飞行中的应用

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This paper deals with the bounded quasi-periodic relative trajectories on an elliptic orbit by the Hanriltonian structure-preserving controller employing only relative positions for feedback without any measurement from relative velocity. The periodic Lawden's equation describing the linearized relative dynamics on an elliptic orbit serves as a nominal reference model for stationkeeping controllers to generate quasi-periodic trajectories near the equilibrium. A Hamiltonian structure-preserving controller is derived to stabilize the three-dimensional time-periodic relative dynamics with the feedback from invariant manifolds. The unstable and stable manifolds are employed to change the hyperbolic equilibrium to elliptic one with the poles assigned on the imaginary axis. The detailed investigations are conducted on the critical controller gain for Floquet stability, and the optimal gains from the views of local and global optimizations for the fuel cost, respectively.
机译:本文利用Hanriltonian保结构控制器处理椭圆轨道上的有界准周期相对轨迹,该控制器仅采用相对位置进行反馈,而无需通过相对速度进行任何测量。描述椭圆轨道上线性化的相对动力学的周期性Lawden方程可作为站台控制器在平衡附近生成准周期轨迹的标称参考模型。推导了哈密顿结构保持控制器,以利用不变流形的反馈来稳定三维时间周期的相对动力学。不稳定和稳定的流形用于将双曲平衡更改为椭圆形,其中极点位于虚轴上。针对Floquet稳定性的关键控制器增益进行了详细研究,并分别从燃料成本的局部和全局优化的角度对最佳增益进行了研究。

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