张双成, 杨元喜, 张勤. 一种基于抗差自校正Kalman滤波的GPS导航算法[J]. 武汉大学学报 ( 信息科学版), 2005, 30(10): 881-884.
引用本文: 张双成, 杨元喜, 张勤. 一种基于抗差自校正Kalman滤波的GPS导航算法[J]. 武汉大学学报 ( 信息科学版), 2005, 30(10): 881-884.
ZHANG Shuangcheng, YANG Yuanxi, ZHANG Qin. An Algorithm of GPS Navigation Based on Robust Self-Tuning Kalman Filtering[J]. Geomatics and Information Science of Wuhan University, 2005, 30(10): 881-884.
Citation: ZHANG Shuangcheng, YANG Yuanxi, ZHANG Qin. An Algorithm of GPS Navigation Based on Robust Self-Tuning Kalman Filtering[J]. Geomatics and Information Science of Wuhan University, 2005, 30(10): 881-884.

一种基于抗差自校正Kalman滤波的GPS导航算法

An Algorithm of GPS Navigation Based on Robust Self-Tuning Kalman Filtering

  • 摘要: 为减弱异常观测值对自校正Kalman滤波精度的影响,引入抗差M估计的等价权函数,建立了抗差自校正Kalman滤波算法,并用实例进行了验证。计算表明,该自适应滤波算法在完全未知噪声统计的情况下,不仅能够自适应地求解状态参数,而且还能在一定程度上有效地抵制观测异常对导航解的影响。

     

    Abstract: In order to avoid estimating the noise statistics in navigation, self-tuning Kalman filtering is introduced. When the system contains outliers in navigation, the estimated state vector by self-tuning Kalman filtering is influenced. To get a reliable result, an equivalent weight based on robust M-estimator is applied in the process of self-tuning Kalman filtering; robust self-tuning Kalman filtering is then proposed in this paper. A real kinematic system is tested. It is shown by real calculation that the robust self-tuning Kalman filtering is not only adaptively estimate the state vector, but also guarantee the reliability of the kinematic state estimates.

     

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