摘要
本文详细推导了解算四元数微分方程的线性多步算法，并构造了解算四元数微分方程的预测-校正算法．通过对算法的误差分析，将预测．校正算法进行改进，得到预测-校正-改进算法．此算法不仅具有较好的稳定性，而且精度较预测撒正算法提高了计算步长的一个数量级．
This paper derives the linear multi-step algorithm and constructs the forecasting-correcting algorithm to solve the quaternion differential equations. By analyzing the error, it gets the new algorithm to improve the forecasting-correcting algorithm. The new algorithm not only has the better stability, but also raises the one order of magnitude accuracy of computation step length.
出处
《导航》
2006年第1期62-66,共5页
关键词
捷联惯性导航系统
四元数微分方程
线性多步算法
误差分析
Strapdown Inertial Navigation System
Quatemion Differential Equations
Linear Multi-StepAlgorithm
Error Analysis
