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“鹊桥”通导遥星座系统基于卫星时空信息的定位优化方法

Positioning Optimization Method Based on Satellite Spatiotemporal Information for Queqiao Constellation System

  • 摘要: 基于在可见星数受限的场景下,观测信息的有限性与观测方程的病态性严重制约着最小二乘法的定位解算精度的问题,面向未来“鹊桥”通导遥星座系统,提出一种融合卫星时空信息的最小二乘定位优化方法,以增强定位解算能力。通过构建融合多历元伪距观测时序信息的辅助方程,结合基于恒速运动模型的动态加权策略,有效利用历史观测,改善动态场景下信息不足的问题;并引入多历元星间间距信息,构建几何辅助约束,抑制观测方程病态性;采用双向滤波算法优化解算结果,提升解算稳定性。利用基于平台生成的“鹊桥”通导遥星座系统卫星轨道数据开展仿真验证,结果表明在定轨误差为10 m、历史历元长度为19的条件下,融合多历元伪距观测信息与星间间距信息并采用双向滤波平滑,可实现7.03 ± 2.50 m的定位精度,相较无任何辅助信息与平滑处理的传统最小二乘法,定位误差降低88.26%,标准差降低96.14%,为宇航员月面作业所需的高精度定位导航服务提供技术支撑。

     

    Abstract: Due to the fact that the number of visible satellites is limited, the finiteness of observation information and the ill-condition of the observation equation seriously constrain the positioning accuracy of the Least Squares (LS) method. To address this, a spatiotemporal information-enhanced LS positioning optimization method for future Queqiao communication-navigation-remote sensing constellation was proposed, aiming to improve the robustness of LS-based solutions. First, an auxiliary equation incorporating multi-epoch pseudorange observations was constructed, coupled with a dynamic weighting strategy based on a constant-velocity motion model, to effectively utilize historical data and mitigate information deficiency in dynamic scenarios. Second, multi-epoch inter-satellite distance measurements are introduced to form geometric constraints that to suppress ill-conditioning in the observation model. Finally, a Forward-Backward Smoother (FBS) algorithm was applied to further refine positioning results and enhance solution stability. Simulation experiments based on platform-generated orbital data of the Queqiao constellation demonstrate that, under a 10 m orbital error and with a historical epoch length of 19, the proposed method—fusing multi-epoch pseudorange and inter-satellite distance data with FBS smoothing—achieved a positioning accuracy of 7.03 ± 2.50 m. Compared to the conventional LS method without any auxiliary information or smoothing, the positioning mean error was reduced by 88.26% and the standard deviation by 96.14%, providing solid technical support for high-precision positioning and navigation services required for Chinese astronauts' lunar surface operations.

     

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