基于总体最小二乘的捷联三轴磁力仪标定与地磁场测量误差补偿

doi:10.3969/j.issn.1000-1093.2012.10.008

兵工学报 ›› 2012, Vol. 33 ›› Issue (10): 1202-1209.doi: 10.3969/j.issn.1000-1093.2012.10.008

基于总体最小二乘的捷联三轴磁力仪标定与地磁场测量误差补偿

吴志添，武元新，胡小平，吴美平

（国防科学技术大学机电工程与自动化学院, 湖南长沙 410073）

收稿日期:2011-12-29 修回日期:2011-12-29 上线日期:2014-03-04
作者简介:吴志添 (1984—)男博士研究生
基金资助:
航天支撑技术基金项目（2010-HT-GFKD-11）；湖南省研究生科研创新项目（CX2011B012）；国防科学技术大学优秀研究生创新项目（B110301）

Calibration of Strapdown Three-axis Magnetometer and Measurement Error Compensation of GeomagneticField Based on Total Least Squares

WU Zhi-tian, WU Yuan-xin, HU Xiao-ping, WU Mei-ping

(College of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, Hunan, China)

Received:2011-12-29 Revised:2011-12-29 Online:2014-03-04

摘要/Abstract

摘要： 提出了一种磁力仪标定与地磁场补偿一体化的方法。对捷联三轴磁力仪的测量过程进行误差分析，建立包含磁力仪标定误差与地磁场测量误差的参数化模型。针对测量噪声的分布特性，采用基于总体最小二乘（TLS）算法对模型的参数进行了估计。仿真结果与实验结果均表明，与传统的基于最小二乘（LS）方法相比，基于TLS算法的参数估计精度更高，能够获得更好的补偿效果。

关键词: 信息处理技术, 三轴磁力仪, 标定, 测量误差补偿, 总体最小二乘

Abstract: A method of simultaneous magnetometer calibration and measurement error compensation of geomagnetic field was proposed. A parameterized model comprising sensor calibrating error and measurement error of geomagnetic field was constructed by an error analysis through the measurement. Those parameters in the model were estimated using total least squares (TLS) based algorithm, according to the spread of measurement noise. Compared with the traditional least squares (LS) based algorithm, both simulated results and experimental results show that the TLS based algorithm achieved higher estimated precision and better compensation.

Key words: information processing, three-axis magnetometer, calibration, measurement error compensation, total least squares

中图分类号:

V249.32

吴志添，武元新，胡小平，吴美平. 基于总体最小二乘的捷联三轴磁力仪标定与地磁场测量误差补偿[J]. 兵工学报, 2012, 33(10): 1202-1209.

WU Zhi-tian, WU Yuan-xin, HU Xiao-ping, WU Mei-ping. Calibration of Strapdown Three-axis Magnetometer and Measurement Error Compensation of GeomagneticField Based on Total Least Squares[J]. Acta Armamentarii, 2012, 33(10): 1202-1209.

参考文献

［1］周军, 葛致磊, 施桂国, 等. 地磁导航发展与关键技术[J]. 宇航学报, 2008，29(5): 1467-1474.
ZHOU Jun, GE Zhi-lei, SHI Gui-guo, et al. Key technique and development for geomagnetic navigation [J]. Journal of Astronautics,2008, 29(5): 1467-1474. (in Chinese)
［2］ Gebre-Egziabher D, Elkaim G H, Powell J D, et al. A non-linear, two-step estimation algorithm for calibrating solid-state strapdown magnetometers [C]∥In 8th International St. Petersburg Conference on Navigation Systems (IEEE/AIAA). Petersburg: IEEE, 2001: 290-297.
［3］ Foster C C, Elkaim G H. Extension of a non-linear, two-step calibration methodology to include non-orthogonal sensor axes[J]. IEEE Journal of Aerospace Electronic Systems, 2008, 44: 1070-1087.
［4］ Dorveaux E, Vissiere D, Martin A P, et al. Iterative calibration method for inertial and magnetic sensors[C]∥Joint 48th IEEE Conference on Decision and Control and 28th Chinese Conference. Shanghai: IEEE, 2009: 8296-8303.
［5］ Vasconcelos J F, Elkaim G, Silvstre C, et al. Geometric approach to strapdown magnetometer calibration in sensor frame[J]. IEEE Transactions on Aerospace and Electronic Systems, 2011, 47(2): 1293-1306.
［6］ Vasconcelos J F, Elkaim G, Silvestre C, et al. A geometric approach to strapdown magnetometer calibration in sensor frame[C]∥IFAC Workshop on Navigation, Guidance and Control of Underwater Vehicles. Killaloe: IFAC, 2008: 1-11.
［7］ Gebre-Egziabher D, Elkaim G H, Powell J D, et al. Calibration of strapdown magnetometers in magnetic field domain[J]. ASCE Journal of Aerospace Engineering, 2006, 19(2): 1-16.
［8］黄学功, 王炅. 地磁信号检测系统误差分析与补偿方法研究[J]. 兵工学报, 2011, 32(1): 33-36.
HUANG Xue-gong, WANG Jiong. Error analysis and compensation methods for geomagnetic signal detection system[J]. Acta Armamentarii, 2011, 32(1): 33-36. (in Chinese)
［9］ Val′erie R, Afzal M H, Lachapelle G. Complete triaxis magnetometer calibration in the magnetic domain[J]. Journal of Sensors, 2010,20: 1-10.
［10］ Golub G H, Van Loan C F. An analysis of the total least squares problem[J]. SIAM Journal on Numerical Analysis, 1980,17(6): 883-893.
［11］ Markovsky I, Van Huffel S. Overview of total least-squares methods[J]. Singal Processing, 2007, 87(10): 2283-2302.
［12］张贤达. 矩阵分析与应用[M]. 北京: 清华大学出版社, 2004.
ZHANG Xian-da. Matrix analysis and applications[M]. Beijing: Tsinghua University Press, 2004. (in Chinese)
［13］ Horn R A, Johnson C R. Matrix analysis[M]. Cambridge: Cambridge University Press, 1985.
［14］张洪钺, 黄劲东, 范文雷. 全最小二乘法及其在参数估计中的应用[J]. 自动化学报, 1995, 21(1): 40-47.
ZHANG Hong-yue, HUANG Jin-dong, FAN Wen-lei. Total least square method and its application to parameter estimation [J]. Acta Automatica Sinaca, 1995, 21(1): 40-47. (in Chinese)

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基于总体最小二乘的捷联三轴磁力仪标定与地磁场测量误差补偿

Calibration of Strapdown Three-axis Magnetometer and Measurement Error Compensation of GeomagneticField Based on Total Least Squares

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