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本文介绍计算GPS姿态确定整数模糊解的一种新算法.该算法首先引用瞬时(静态)整数搜索法,利用一个几何不等式大大缩小搜索空间。然后利用批处理损失函数检验剩余的整数,以确定最优整数解。批处理损失函数将本体坐标系中表示的GPS矢线矢量表示为2个矢量之和;一个矢量与相位差测量有关,另一个与未知的整数倍波长有关。新算法有几个优点:不需要航天器的先验估计姿态信息;利用协方差阵表达式可检验算法本身的完整性;即使基线共面,也能判定整数模糊解。新算法的性能在一种动力学硬件仿真器上进行了检验。
In this paper, we introduce a new algorithm to calculate the integer ambiguity solution of GPS attitude determination, which firstly refers to the instantaneous (static) integer search method and uses a geometric inequality to reduce the search space greatly. Then use the batch loss function to test the remaining integers to determine the optimal integer solution. The batch loss function represents the GPS vector of the vectors represented in the ontology coordinate system as the sum of two vectors; one vector is related to the phase difference measurement and the other is related to an unknown integer multiple of the wavelength. The new algorithm has several advantages: it does not require a priori estimate of pose information of the spacecraft; covariance matrix expressions can be used to verify the integrity of the algorithm itself; even if the baseline is coplanar, integer ambiguities can be determined. The performance of the new algorithm was tested on a dynamic hardware simulator.