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总体最小二乘法在NGMIMU静态解耦中的应用
引用本文:肖伟光,丁明理,王祁.总体最小二乘法在NGMIMU静态解耦中的应用[J].中国航空学报,2004,17(4):224-228.
作者姓名:肖伟光  丁明理  王祁
作者单位:Department of Automatic Test and Control,Harbin Institute of Technology,Harbin 150001,China,Department of Automatic Test and Control,Harbin Institute of Technology,Harbin 150001,China,Department of Automatic Test and Control,Harbin Institute of Technology,Harbin 150001,China
基金项目:20 0 1CASCInnovativeFoundation
摘    要:无陀螺惯导系统的线性耦合是一种严重影响测量精度的系统误差。根据无陀螺惯导系统的耦合特性和总体最小二乘法 (TLS)的性质提出了一种全新的线性解耦算法 ,该算法在解算耦合系数时同时考虑了加速度计的输出误差和标定信号的输入误差 ,得到耦合系数的TLS解对输入值和输出值同时具有范数最小 ,然后用求得的耦合系数对加速度计输出进行重构 ,从而实现解耦。仿真结果表明经该算法解耦后的角速度测量值解耦误差率在 8%以下 ,解耦效果较好 ,验证了该算法的有效性。

关 键 词:无陀螺微惯性测量单元(NGMIMU)  解耦  总体最小二乘法(TLS)

Application of Total Least Square Algorithm in Static Decoupling of NGMIMU
XIAO Wei-guang,DING Ming-li,WANG Qi.Application of Total Least Square Algorithm in Static Decoupling of NGMIMU[J].Chinese Journal of Aeronautics,2004,17(4):224-228.
Authors:XIAO Wei-guang  DING Ming-li  WANG Qi
Abstract:The linear coupling of Non-gyro Micro Inertial Measurement Unit (NGMIMU) is a kind of system error that affects the accuracy of measurement seriously. In this article, the author puts forward a new linear decoupling algorithm which simultaneously considers the error of standard input signal and output of accelerators when the coupling parameters are calculated. The Total Least Square (TLS) solutions of coupling parameters own the minimum characteristic to the input and output values. Then these parameters are used to reconstruct the outputs of accelerators so as to realize the decoupling. The emulation result show that the ratio of decoupling error is less than 8% and verify the feasibility of this algorithm.
Keywords:non-gyro micro measurement unit (NGMIMU)  decoupling  total least square (TLS)
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