捷联惯性组合误差模型相关性分析方法

发布时间：2019-03-02 20:40

【摘要】：在实际应用中通过捷联惯性组合误差模型可以将测量值转换成载体导航解算的需要量,而误差模型中的误差系数一般通过标定试验获得。以往认为误差模型中各误差系数相互独立,但通过实际计算可以发现并非如此。为了考量各系数相关性关系,提出了一种相关性分析方法。首先,提出了捷联惯组加速度计输出方程。之后,运用统计学的相关方法计算出了各系数的相关系数和协方差矩阵,并推导出了测量值和误差系数的分布特性之间的关系。最后,通过加速度计组合的实际测试,分别计算了不包含和包含拟合残差的统计数值。通过与输出值进行比对,验证了相关性分析方法的正确性,并表明拟合残差对于统计特性的计算具有重要作用。
[Abstract]:In practical application, the measurement value can be converted into the requirement of carrier navigation through the strapdown inertial combination error model, and the error coefficient in the error model is generally obtained by calibration test. In the past, it was considered that the error coefficients in the error model are independent of each other, but the actual calculation shows that this is not the case. In order to consider the correlation relationship of each coefficient, a correlation analysis method is proposed. Firstly, the output equation of strapdown inertial accelerometer is presented. Then the correlation coefficient and covariance matrix of each coefficient are calculated by the statistical correlation method and the relationship between the measured value and the distribution characteristics of the error coefficient is deduced. Finally, through the actual test of accelerometer combination, the statistical values which do not include and contain fitting residual are calculated respectively. By comparing with the output value, the correctness of the correlation analysis method is verified, and it is shown that the fitting residual plays an important role in the calculation of statistical characteristics.
【作者单位】：北京航天控制仪器研究所;
【基金】：民用航天专业技术预先研究项目(D010101) 国防基础科研项目(B030080021)
【分类号】：TN96

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