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捷联惯导系统姿态算法的仿真模拟
引用本文:贺娟,袁颂岳. 捷联惯导系统姿态算法的仿真模拟[J]. 金陵科技学院学报, 2005, 21(3): 14-17
作者姓名:贺娟  袁颂岳
作者单位:湖南师范大学,湖南,长沙,410081;湖南师范大学,湖南,长沙,410081
摘    要:在捷联惯性导航系统中,姿态矩阵可用四元数来表示,从而常常需要计算四元数矩阵微分方程的问题.4阶龙格-库塔法和3阶泰勒展开递推式法对捷联惯导系统的四元数姿态矩阵作仿真,结果表明:在短步长条件,3阶泰勒展开递推式法比4阶龙格-库塔法更有效.本文为改进捷联惯导系统算法提供了参考依据.

关 键 词:惯性导航  姿态矩阵  四元数  泰勒展开法  龙格-库塔法
文章编号:1672-755X(2005)03-0014-03
修稿时间:2005-09-10

Simulation on Attitude Algorithm of the Strapdown Inertial Navigation System
HE Juan,YUAN Song-yue. Simulation on Attitude Algorithm of the Strapdown Inertial Navigation System[J]. Journal of Jinling Institute of Technology, 2005, 21(3): 14-17
Authors:HE Juan  YUAN Song-yue
Abstract:Attitude matrix is represented by quaternion and the problem solving the quaternion matrix differential equation is frequently used in SINS. In this paper the three-order recursive Taylor expanded form and the four-order Range-Kuttle method as the updating algorithm of quaternion is simulated. The result proved that under the short step length condition three-order recursive Taylor expanded form is more effective than four-order Range-Kuttle method. The paper offers reference for developing SINS algorithm.
Keywords:inertial navigation  attitude matrix  quaternion  Taylor expansion  Range-Kuttle method
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