Feasibility analysis and saturation control for underactuated spacecraft formation reconfiguration in elliptic orbits

Jiang Shao, Qingrui Zhou, Yan Xiao, Franco Bernelli-Zazzera, Zhaowei Sun
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Abstract

This work proposes a saturation control scheme for underactuated spacecraft formation reconfiguration in elliptic orbits without radial or along-track thrust. Firstly, the rank criterion method is applied to analyze the controllability and feasibility of formation reconfiguration by linearizing the linear time-varying dynamics to linear time-invariant ones. Based on the inherent coupling of the linear time-varying system, the underactuated error dynamics are presented for either underactuated case. Subsequently, the developed underactuated saturation controller can ensure that the time-varying system trajectory asymptotically converges to the specified configuration. The Lyapunov-based analysis presents the constraint conditions of controller parameters and the stable reconfiguration accuracy of the system states. Finally, numerical simulations for both underactuated scenarios are performed in the environment with J2 perturbation to verify the validity of the proposed underactuated control scheme.
椭圆轨道上动力不足航天器编队重组的可行性分析和饱和控制
本研究提出了一种饱和控制方案,用于在没有径向或沿轨推力的椭圆轨道上进行欠驱动航天器编队重构。首先,通过将线性时变动力学线性化为线性时不变动力学,应用秩准则方法分析编队重构的可控性和可行性。基于线性时变系统的内在耦合,提出了任一欠驱动情况下的欠驱动误差动力学。随后,所开发的欠激励饱和控制器可确保时变系统轨迹渐近收敛到指定配置。基于 Lyapunov 的分析提出了控制器参数的约束条件和系统状态的稳定重配置精度。最后,在 J2 扰动环境下对两种欠激励方案进行了数值模拟,以验证所提出的欠激励控制方案的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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