摘要
旋转弹磁测解算中牛顿迭代法收敛性和实时性与迭代初值相关,存在收敛缓慢甚至发散的现象。针对此问题,利用遗传算法快速搜索得到近似解,以此解为牛顿迭代法的迭代初值,以某高速旋转弹为算例进行磁测姿态解算,并对给定姿态角误差、初始地磁分量误差、磁测数据误差3个方面进行了仿真分析。结果表明,基于遗传-牛顿迭代的磁测解算方法可有效提高磁测姿态算法的收敛性及快速性,在给定姿态角误差小于5°、磁测数据误差小于500nT或初始地磁分量误差小于1 000nT时,姿态角误差均小于3°,算法具有较高的精度。
The astringency and real-time character of Newton iterative method are connected with initial iterative value in the magnetic survey solution of high-speed rotating ammunition, and the convergence is slow and even divergency appears. The GA was applied to quickly search the ap- proximate solution, and the solution was taken as initial iterative value. Taking high-speed rotating ammunition as an example,the attitude angles were solved using the proposed method, and the algorithm errors such as fixed attitude angle data error, initial fixed parameters error and magnetic measured data error were analyzed. The results show that the GA-Newton iterative method can effectively improve the convergence and rapidity. When a given attitude angle error is less than 5~ and magnetic data error is less than 500nT or initial geomagnetic component error is less than 1000nT,the attitude angle error is less than 3°,and the algorithm has higher precision.
出处
《弹道学报》
CSCD
北大核心
2013年第2期69-73,84,共6页
Journal of Ballistics
基金
国家自然科学基金项目(61004127)
关键词
高速旋转弹
磁测姿态
遗传-牛顿迭代法
数值计算
high-speed rotating ammunition
attitude magnetic survey
GA-Newton iterative method
numerical calculation
