| 捷联惯导系统中四元素法求解姿态角仿真模拟 |
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| 引用本文： | 孙冬梅,田增山,韩令军. 捷联惯导系统中四元素法求解姿态角仿真模拟[J]. 弹箭与制导学报, 2009, 29(1) |
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| 作者姓名： | 孙冬梅 田增山 韩令军 |
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| 作者单位： | 重庆邮电大学移动通信技术重点实验室,重庆,400065 |
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| 基金项目： | 重庆市教委基金(KJ070505);;重庆市科委自然科学基金(2006BB2376)资助 |
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| 摘 要： | 在捷联惯导系统中,姿态矩阵的四元素微分方程求解一般采用四阶龙格-库塔法,从运算精度与速度上考虑,提出了另一种有效的四阶泰勒展开法。并在典型圆锥运动环境下,对两种算法进行了姿态角误差仿真。通过仿真分析,四阶泰勒展开法的计算精度比四阶龙格-库塔法高出1~2个数量级,为改进捷联惯导系统姿态算法提供了理论参考依据。
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| 关 键 词： | 四元素 四阶龙格-库塔法 四阶泰勒展开法 姿态角 |
Simulation on Quaternion Calculate Attitude Angle of the Strapdown Inertial Navigation System |
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| SUN Dongmei,TIAN Zengshan,HAN Lingjun. Simulation on Quaternion Calculate Attitude Angle of the Strapdown Inertial Navigation System[J]. Journal of Projectiles Rockets Missiles and Guidance, 2009, 29(1) |
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| Authors: | SUN Dongmei TIAN Zengshan HAN Lingjun |
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| Affiliation: | Key Lab oratory of Mobile Communication Technology;CQUPT;Chongqing 400065;China |
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| Abstract: | The calculation of attitude matrix's quaternion differential eguations adopt four-order Range-Kuttle method commonly in strapdown inertial navigation system(SINS),Considered precision and speed,another effective method-four-order Taylor expansion is presented.The attitude angle error simulate carried out under the typical circular cone rotation condition.It provides that four-order recursive Taylor expansion's precision tower above 1~2 magnitude than four-order Range-Kuttle method,and offers theoretic refer... |
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| Keywords: | quaternion four-order Range-Kuttle method four-order Taylor expansion attitude angle |
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