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基于非线性最小二乘法的姿态优化算法
引用本文:宋静,裴东兴,曹咏弘.基于非线性最小二乘法的姿态优化算法[J].探测与控制学报,2011,33(2):77-80.
作者姓名:宋静  裴东兴  曹咏弘
作者单位:仪器科学与动态测试教育部重点实验室,中北大学,山西,太原,030051
摘    要:在无陀螺捷联惯导系统中,在一种适合高自旋弹丸运动姿态测试的十二加速度计配置方案下,针对由十二加速度计的输出直接解算出角速度的方法中没考虑加速度计的安装误差问题,提出一种提高角速度解算精度的优化算法。该方法基于非线性最小二乘法从姿态角的一组初值出发开始在每一点处进行线性替代的迭代计算,搜索出满足极值点必要条件的最优角速度,从而实现对姿态角的优化解算。实验证明:该方法能有效抑制安装误差,精度高,是可行的。

关 键 词:无陀螺捷联惯导系统  加速度计  安装误差  最小二乘法  姿态解算

An Attitude Optimization Algorithm Based on Nonlinear Least Squares Optimization
SONG Jing,PEI Dongxing,CAO Yonghong.An Attitude Optimization Algorithm Based on Nonlinear Least Squares Optimization[J].Journal of Detection & Control,2011,33(2):77-80.
Authors:SONG Jing  PEI Dongxing  CAO Yonghong
Affiliation:SONG Jing,PEI Dongxing,CAO Yonghong (Key Laboratory of Instrumentation Science & Dynamic Measurement(North University of China),Ministry of Education,Taiyuan 030051,China)
Abstract:In the gyroscope-free strap-down inertial navigation system,the angular velocity could be calculated directly by the output of accelerometer,but it did not consider the installation errors of accelerometer.Based on a twelve-accelerometer configuration which applied for high-speed projectile attitude measurement,an optimization algorithm was proposed.The method based on nonlinear least squares could iteratively calculate the optimal angular velocity which met the necessary conditions for extreme points from ...
Keywords:Gyroscope free strap-down inertial navigation system(GFSINS)  accelerometer  installation errors  nonlinear least squares  attitude algorithm  
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