地磁日变影响下的地磁匹配算法  

Geomagnetic matching algorithm under geomagnetic diurnal variation influence

作　　者：解伟男[1] 李清华[1] 屈桢深[1] 奚伯齐[1] XIE Wei-nan, LI Qing-hua, QU Zhen-shen, XI Bo-qi(Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, Chin)

机构地区：[1]哈尔滨工业大学空间控制与惯性技术研究中心,哈尔滨150001

出　　处：《中国惯性技术学报》2017年第6期776-781,共6页Journal of Chinese Inertial Technology

基　　金：国家自然科学基金(61403095;61375046);总装预研项目(51309040401)

摘　　要：针对地磁日变严重影响地磁匹配导航定位精度和可靠性的问题,提出一种地磁日变影响下的地磁匹配算法。首先根据地磁日变的特性,构造地磁日变影响下的均方差相关性准则,补偿地磁日变对匹配结果的影响。然后建立匹配曲线的参数化模型,将相关性准则转化为位置误差、航向误差和地磁日变误差的表达式,从而将地磁匹配转化为非线性方程组的求解。最后采用Broyden算法求解非线性方程组,实现地磁日变影响下的地磁匹配定位。仿真结果表明,在地磁日变场为50 n T时,传统地磁匹配方法发生了误匹配,而本文所提出算法的匹配定位最大经纬度误差为0.0032°,算法耗时16 ms,可以实现地磁日变影响下高精度快速匹配定位。Geomagnetic diurnal variation（GDV） has serious influence on the accuracy and reliability of geomagnetic matching navigation. A novel geomagnetic matching algorithm under GDV influence is proposed. First, according to the characteristics of GDV, the correlation criterion under GDV influence is constructed to compensate the GDV. Then the parameterized model of matching track is built, and the correlation criterion is translated into a mathematical expression of the displacement, initial heading error and GDV error. Consequently, the geomagnetic matching problem is converted to the solutions of nonlinear equations. Finally, Broyden iteration is adopted to implement the geomagnetic matching algorithm under GDV influence. Simulation results indicate that the traditional geomagnetic matching algorithm fails to match under the influence of 50 nT GDV, while the matching error and the time consumed by the proposed algorithm are 0.0032° and 16 ms respectively under the same conditions. The proposed algorithm can meet the requirement of accuracy and real-time performance under GDV influence.

关 键 词：地磁匹配 地磁日变 迭代 均方差准则 

分 类 号：V249.3[航空宇航科学与技术—飞行器设计]