一种矢量信息重构的最优双矢量定姿算法  

An optimal TRIAD algorithm based on vector information reconstruction for satellite attitude determination

作　　者：李鑫 邢斯瑞 易进 曲友阳 LI Xin;XING Sirui;YI Jin;QU Youyang(Chang Guang Satellite Technology Co.Ltd.,Changchun 130033,China)

机构地区：[1]长光卫星技术股份有限公司,长春130033

出　　处：《导航定位学报》2022年第4期43-48,共6页Journal of Navigation and Positioning

摘　　要：针对低轨小卫星双矢量定姿算法存在主矢量不对称的问题,对双矢量进行了重构,将不同双矢量改进算法通过线性变换统一表达。提出了一种矢量信息重构的最优双矢量算法,通过求解2个矢量的沃赫拜(Wahba)代价函数,得到了最优姿态矩阵对应的参数。该参数由矢量观测噪声和参考矢量夹角构成,通过动态调节可获得任意时刻最小二乘意义下的最优姿态。通过实际卫星动力学仿真,算法求解的三轴姿态角均方根误差分别为3.09,3.07和2.98°,具有较高的解算精度。In order to solve the problem of the asymmetry of the main vector in the Three-Axis Attitude Determination(TRIAD)algorithm of low-orbit small satellite,the dual-vector is reconstructed.Different TRIAD algorithms are expressed by linear transformation.An optimal TRIAD algorithm based on vector information reconstruction is proposed.By solving the Wahba cost function of two vectors,the corresponding parameters of the optimal attitude matrix are obtained.The parameter is composed of vector observation noise and the angle between reference vectors,and the optimal attitude can be obtained at any time in the sense of least squares by dynamic adjustment.According to the actual satellite dynamics simulation,the Root Mean Square Error(RMSE)of the three-axis attitude angle solved by the algorithm is 3.09,3.07 and 2.98°respectively,which has a high solution accuracy.

关 键 词：双矢量定姿算法 线性变换 动态调节 最优姿态 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]