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针对航天器姿态确定问题提出了一种新的递归线性估计算法。首先采用罗格里斯参数描述姿态,介绍了基于几何方法得到的非递归线性姿态估计算法。其次,引入历史测量数据,根据姿态旋转关系,获得了递归线性估计算法。进一步引入遗忘因子,对历史测量数据和当前测量数据进行权衡,得到了加权递归线性估计算法。数值仿真结果表明,所提出的递归姿态估计算法比非递归姿态估计算法具有更高的精度,在一定范围内遗忘因子越小,姿态估计精度越高。
A new algorithm of recursive linear estimation is proposed for spacecraft attitude determination. Firstly, the attitude is described by using the parameters of the Rogeris, and the non-recursive linear attitude estimation algorithm based on the geometric method is introduced. Secondly, the historical measurement data is introduced, and the recursive linear estimation algorithm is obtained according to the attitude rotation relationship. By further introducing the forgetting factor and weighing the historical measurement data and the current measurement data, a weighted recursive linear estimation algorithm is obtained. Numerical simulation results show that the proposed recursive attitude estimation algorithm has higher accuracy than the non-recursive attitude estimation algorithm, and the smaller the forgetting factor in a certain range, the higher the attitude estimation accuracy.