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首页> 外文期刊>Journal of guidance, control, and dynamics >Application of Synchronization to Formation Flying Spacecraft: Lagrangian Approach
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Application of Synchronization to Formation Flying Spacecraft: Lagrangian Approach

机译：同步在编队飞行航天器中的应用：拉格朗日方法

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摘要

This paper presents a unified synchronization framework with application to precision formation flying spacecraft. Central to the proposed innovation, in applying synchronization to both translational and rotational dynamics in the Lagrangian form, is the use of the distributed stability and performance analysis tool, called contraction analysis that yields exact nonlinear stability proofs. The proposed decentralized tracking control law synchronizes the attitude of an arbitrary number of spacecraft into a common time-varying trajectory with global exponential convergence. Moreover, a decentralized translational tracking control law based on oscillator phase synchronization is presented, thus enabling coupled translational and rotational maneuvers. Although the translational dynamics can be adequately controlled by linear control laws, the proposed method permits highly nonlinear systems with nonlinearly coupled inertia matrices such as the attitude dynamics of spacecraft whose large and rapid slew maneuvers justify the nonlinear control approach. The proposed method integrates both the trajectory tracking and synchronization problems in a single control framework.
机译：本文提出了一个统一的同步框架及其在精确编队飞行航天器中的应用。在将同步应用于拉格朗日形式的平移和旋转动力学中时，所提出创新的核心是使用分布式稳定性和性能分析工具（称为收缩分析），该工具可产生精确的非线性稳定性证明。拟议的分散跟踪控制定律将任意数量的航天器的姿态同步到具有全局指数收敛性的常见时变轨迹。此外，提出了基于振荡器相位同步的分散式平移跟踪控制律，从而实现了耦合的平移和旋转操纵。尽管平移动力学可以通过线性控制律来适当地控制，但是该方法允许具有非线性耦合惯性矩阵的高度非线性系统，例如航天器的姿态动力学，其大而快速的回转操作证明了非线性控制方法的合理性。所提出的方法在单个控制框架中集成了轨迹跟踪和同步问题。

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