Adaptive Cubature Kalman Filter Algorithm Based on Quaternion Error Modeling

Kai Liu, You Zhao, Zhigang Zhu
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Abstract

Initial alignment is the key link before initial device enters navigation function. In the actual use of the marine inertial navigation system, the external environment is complex, the error modeling cannot be simply approached and processed by linear filtering. To solve this problem, the adaptive CKF algorithm based on quaternion error modeling is proposed. The proposed method uses multiple fading factors to redistribute the weight of measurement information, so as to reduce the algorithm error caused by inaccurate noise parameters in the complex environment. Simulation results show that the adaptive CKF algorithm based on quaternion error modeling proposed in this paper can solve the large misalignment angle transfer alignment. Compared with UKF and CKF algorithm, when the system noise covariance changes, the proposed algorithm can effectively improve alignment precision and accuracy.
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基于四元数误差建模的自适应Cubature Kalman滤波算法
初始对齐是初始设备进入导航功能之前的关键环节。船舶惯性导航系统在实际使用中,外部环境复杂,误差建模不能简单地用线性滤波方法逼近和处理。针对这一问题,提出了基于四元数误差建模的自适应CKF算法。该方法利用多个衰落因子对测量信息的权重进行重新分配,从而降低了复杂环境下噪声参数不准确导致的算法误差。仿真结果表明,本文提出的基于四元数误差建模的自适应CKF算法可以解决较大的不对准角传递对准问题。与UKF和CKF算法相比,当系统噪声协方差发生变化时,本文算法能有效提高对准精度和精度。
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