基于组合导航算法的NASRUKF无人机

Yih-Farn Wang, Guifen. Chen, X. Li, Guangjiao Chen
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引用次数: 0

摘要

组合导航系统是由惯性导航系统和北斗卫星导航系统组成的导航定位系统。组合导航中的导航系统模型大多是非线性的,但传统的卡尔曼滤波算法不能很好地应用于非线性方程,而应用于非线性方程的Unscented卡尔曼滤波算法和扩展卡尔曼滤波算法在噪声融合过程中是恒定的,因此会引起滤波发散。本文在提出无迹卡尔曼滤波算法的基础上,将引入平方根无迹卡尔曼滤波算法,该算法通过QR分解和Cholesk分解,将sagi - husa算法与平方根无迹卡尔曼滤波算法相结合,直接计算状态误差协方差矩阵预测和估计平方根因子,保持滤波的稳定性;通过实践证明,与卡尔曼滤波相比,非线性自适应回归平方根卡尔曼滤波具有较好的导航定位功能,滤波的收敛性较好,定位精度可在5m以内,速度误差可在0.5m/s ~ 1m/s之间。与KF算法相比,位置误差增加了约75%,速度误差增加了约50%。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
NASRUKF UAV based on combined navigation algorithm
Combined navigation system is a navigation and positioning system composed of inertial navigation system and BeiDou satellite navigation system. Most of the navigation system models in combined navigation are nonlinear, but the traditional Kalman filtering algorithm is not well applied to nonlinear equations, and the Unscented Kalman filtering algorithm and Extended Kalman filtering algorithm which can be applied to nonlinear equations are constant in the fusion process of noise, so it will cause filtering divergence. In this paper, on the basis of Unscented Kalman filtering algorithm proposed will introduce the square root traceless Kalman filter algorithm, the algorithm through QR decomposition and Cholesk decomposition, the Sage-Husa algorithm combined with Square Root Unscented Kalman Filter algorithm, directly calculate the state error covariance matrix prediction and estimation of the square root factor, maintain the stability of the filtering, through practice proved that compared to Kalman filtering .The Nonlinear adaptive regression square root Kalman filter filter has a good navigation and positioning function, as the filtering is more convergent and the position accuracy can be within 5m, the speed error can be between 0.5m/s-1m/s. Compared with KF algorithm, the position error is increased by about 75%, and the speed error is increased by about 50%.
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