基于磁梯度張量的目標(biāo)多測量點(diǎn)線性定位方法
發(fā)布時間:2018-03-29 02:12
本文選題:磁梯度張量 切入點(diǎn):不變量 出處:《探測與控制學(xué)報》2017年05期
【摘要】:針對目前基于磁梯度張量的目標(biāo)多測量點(diǎn)定位方法中存在求解過程復(fù)雜且無法得到解析最優(yōu)解的問題,提出了基于磁梯度張量的目標(biāo)多測量點(diǎn)線性定位方法。該方法將磁梯度張量的三個特征值按照一定關(guān)系組合得到一個與磁偶極子方向無關(guān)的不變量,同時利用絕對值最小的特征值對應(yīng)的特征向量與距離矢量垂直的幾何關(guān)系,通過運(yùn)動載體平臺的運(yùn)動測量得到三個點(diǎn)的磁梯度張量數(shù)據(jù),建立關(guān)于磁性目標(biāo)位置的超定方程組,通過求廣義逆得到目標(biāo)位置的最小二乘解。仿真實(shí)驗驗證表明,多測量點(diǎn)線性定位方法對磁性目標(biāo)的定位效果較好,可以實(shí)現(xiàn)對磁性目標(biāo)的精確定位,且磁力儀的測量精度、測量系統(tǒng)的基線距離和運(yùn)載平臺的位移測量誤差是影響定位精度的主要因素。
[Abstract]:In view of the problem of complex solving process and unable to obtain the analytical optimal solution in the current multi-measurement point location method based on magnetic gradient Zhang Liang, In this paper, a method based on magnetic gradient Zhang Liang is proposed, which combines three eigenvalues of the magnetic gradient Zhang Liang into a invariant independent of the direction of the magnetic dipole, which is independent of the direction of the magnetic dipole. At the same time, using the geometric relationship between the eigenvector corresponding to the minimum eigenvalue of absolute value and the distance vector, the magnetic gradient Zhang Liang data of three points are obtained by the motion measurement of the motion carrier platform, and the overdetermined equations about the location of the magnetic target are established. By solving the generalized inverse, the least square solution of the target position is obtained. The simulation results show that the linear location method with multiple measurement points has a good effect on the magnetic target location, and the precision of the magnetometer can be achieved by the precise location of the magnetic target. The baseline distance of the measuring system and the displacement measurement error of the carrier platform are the main factors affecting the positioning accuracy.
【作者單位】: 海軍航空工程學(xué)院;海軍潛艇學(xué)院遙感所;
【基金】:國家863高技術(shù)研究發(fā)展計劃項目資助(2015AA0922)
【分類號】:P318;P631.2
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本文編號:1679089
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