摘要
针对目前基于磁梯度张量的目标多测量点定位方法中存在求解过程复杂且无法得到解析最优解的问题,提出了基于磁梯度张量的目标多测量点线性定位方法。该方法将磁梯度张量的三个特征值按照一定关系组合得到一个与磁偶极子方向无关的不变量,同时利用绝对值最小的特征值对应的特征向量与距离矢量垂直的几何关系,通过运动载体平台的运动测量得到三个点的磁梯度张量数据,建立关于磁性目标位置的超定方程组,通过求广义逆得到目标位置的最小二乘解。仿真实验验证表明,多测量点线性定位方法对磁性目标的定位效果较好,可以实现对磁性目标的精确定位,且磁力仪的测量精度、测量系统的基线距离和运载平台的位移测量误差是影响定位精度的主要因素。
Aiming at the problem that localization method of target based on the magnetic gradient tensor of multi points is characterized by nonlinear equations whose optimal analytical solution cannot be obtained,linear localization method based on the magnetic gradient tensor of multi points was proposed in this paper.Firstly,an useful rotational invariant was introduced,the invariant could be calculated from eigenvalues of magnetic gradient tensor,which was independent of the magnetization direction;Then the property of eigenvectors was deduced in this paper,and we came up with the conclusion that the eigenvector corresponding to the eigenvalue which had the smallest absolute value was perpendicular to the source sensor displacement vector,according to property shown above,location of the magnetic target could be calculated by solving linear equations of magnetic gradient tensor measured at three points.Results of the simulations showed that the proposed method was effective in magnetic target localization,magnetometer precision,baseline of magnetic gradient tensor system and displacement measurement error of platform were main factors affecting the location error of magnetic target.
作者
迟铖
任建存
吕俊伟
于振涛
宫剑
CHI Cheng;REN Jiancun;Lü Junwei;YU Zhentao;GONG Jian(Naval Aeronautical and Astronautical University, Yantai 264001, China;Institute of Remote Sensing, Naval Submarine Academy, Qingdao 266001, China)
出处
《探测与控制学报》
CSCD
北大核心
2017年第5期62-67,76,共7页
Journal of Detection & Control
基金
国家863高技术研究发展计划项目资助(2015AA0922)
关键词
磁梯度张量
不变量
特征向量
定位
magnetic gradient tensor
invariant
eigenvector
localization
