末制导炮弹姿态更新算法研究

对末制导炮弹姿态更新算法进行了研究,建立了捷联惯性导航系统(SINS)的姿态解算数学模型.采用等效旋转矢量法,利用末制导炮弹的一条弹道数据进行仿真研究,并与四元数四阶龙格库塔法进行了比较.结果表明,在该类实例下等效旋转矢量法仍然适用,而且由于克服了刚体转动的不可交换性误差,与四元数四阶龙格库塔法相比,在姿态更新周期及采样周期相同的情况下,其计算精度都相对较高.

A Study on Algorithms for the Updating of Terminal Guided Projectile Attitudes

Algorithms for the updating of terminal guided projectile attitudes update are studied. Mathematical models are established. Traditionally, the quaternion method is adopted to calculate the attitude angles and its precision is satisfied. But the rotation vector method was tried and a simulation about it was done using the terminal guided projectile' trajectory data. Its precision was compared to the quaternion's. And the results showed that the rotation vector method works well and because it overcomes the unchangeable error happens when rigid body rotate, it has a higher precision whether when the attitudes updating periods are the same or when the sampling periods are the same.