基于星敏感器的姿态优化估计算法

对于采用星敏感器的航天器姿态确定问题,提出了一种快速的姿态优化估计方法;首先,根据Rodrigues参数和观测向量之间的线性关系,引入四元数,构造了不同的非奇异的优化准则;其次,借助四元数,求解了基于该准则的姿态优化算法;误差协方差分析和数值仿真结果表明,该算法与著名的QUaternion ESTmation(QUEST)算法相比,在相同的操作系统环境下,具有相同的姿态估计精度,但计算速度更快,对两种算法选取间隔为2000次的仿真步长,统计数据长度为100个采样点,最后对结果加权求平均值,统计结果显示仅为QUEST的三分之一;这种姿态优化估计方法具有一定的工程应用价值。

Optimal Attitude Determination Method Based on Star Sensor

In the algorithm of the attitude determination by star sensor,an optimal attitude determination method is proposed.Firstly,using the linear transformation relationship between the Rodrigues parameters and observation vector,a different nonsingular optimal criterion is created by the introduction of quaternion.Secondly,we propose a faster optimal attitude determination method based on the nonsingular optimal criterion by quaternion.In the same condition of XP operating system,2000 times for time lag and taking 100 sample points,according to the error analysis of covariance,simulation in the MATLAB and Comparing accuracies between the optimal method and the QUEST algorithm,the new algorithm can get the accuracy as well as QUEST algorithm does,but it has a reduction of about 66% in the computational load compare to the QUEST.This attitude determination method is useful for engineering application.