线性多步算法解算四元数微分方程的误差分析  

Linear Multi-step Algorithm to Solve Quatemion Differential Equations and Error Analysis

作　　者：王德春[1] 张孝芳[1] 隋君[1] 

机构地区：[1]海军潜艇学院,青岛266071

出　　处：《导航》2006年第1期62-66,共5页

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.

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 

分 类 号：U666.12[交通运输工程—船舶及航道工程]