摘要
在更新导弹的姿态矩阵时,需要求解微分方程;分别用毕卡逼近法、欧拉法和四阶龙格-库塔法推导了姿态矩阵微分方程的解,分析了三种算法的误差精度和实时性,并通过仿真进行了验证;理论分析和仿真结果表明,三种算法中毕卡逼近法能兼顾高精度和实时性,是一种比较理想的姿态矩阵更新算法。
When updating missiles＇ attitude matrix, the solution of differential equation should be found. In this paper, the solution was deducted using Baker approach method, Euler algorithm and Runge-Kutta algorithm respectively. The three methods＇ error precision and real-time quality were analyzed and con-firmed by simulation. Theoretical analysis and simulation results showed that Baker approach method, one of the three algorithms, had both high precision and real-time quality, which was an ideal attitude matrix renewal arithmetic.
出处
《四川兵工学报》
CAS
2013年第8期26-29,共4页
Journal of Sichuan Ordnance
关键词
姿态矩阵
微分方程
毕卡逼近法
欧拉法
龙格-库塔法
attitude matrix
differential equation
Baker approach method
Euler algorithm
Runge-Kuttaalgorithm
