论文标题

基于协方差矩阵分解的惯性导航错误分布的分析方法

Analysis Method of Strapdown Inertial Navigation Error Distribution Based on Covariance Matrix Decomposition

论文作者

Yang, Xiaokang, Yan, Gongmin, Liu, Fan, Guan, Bofan, Li, Sihai

论文摘要

错误分布分析是犯罪研究的重要助手技术(横幅惯性导航系统)。错误分布结果可以为最终导航错误提供不同错误的贡献,这有助于修改和优化罪恶。为了实现将导航误差分解为由每个错误源引起的部分,建立了犯罪状态空间模型,并根据错误源分解协方差矩阵。提出的基于34维犯罪模型的拟议错误分布分析方法可以定量分析对初始误差,IMU(惯性测量单元)偏置,IMU量表因子误差,陀螺仪和加速度计和IMU机构错误错误的贡献的贡献。在静态条件和单轴旋转条件下的模拟指出了提出的分析方法的分布结果符合误差传播定律。确定轨迹后,将使用建议的方法计算相应的误差分布结果。与基于协方差矩阵的蒙特 - 卡洛方法和其他方法相比,提出的方法使用更完整的错误模型,考虑了错误源的相互作用效果,并且可以通过更少的计算来轻松实现。

Error distribution analysis is an important assistant technology for the research of SINS(Strapdown Inertial Navigation System). Error distribution result can provide the contribution of different errors to final navigation error, which is helpful for modifying and optimizing SINS. To realize decomposing the navigation error into parts that caused by each error source, the SINS error state space model is established and covariance matrix is decomposed according to error sources. The proposed error distribution analysis method based on 34-dimension SINS error model can quantitatively analyze the contribution to the end navigation error of initial errors, IMU(Inertial Measurement Unit) bias, IMU scale factor errors, mounting errors of gyroscopes and accelerometers, and IMU stochastic errors. The simulations in static condition and single axis rotation condition indict that the distribution result of proposed analysis method accords with the law of error propagation. After trajectory determined, the corresponding error distribution result will be calculated with the proposed method. Compared with the Monte-Carlo method and other method based on covariance matrix, the proposed method uses more complete error model, considers the interaction effect of error sources and can be easily realized with less computation.

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