Robust measure of non‐linearity‐based cubature Kalman filter

Lei Zhang, Sheng Li, Enze Zhang, Qingwei Chen · IET Science Measurement & Technology · 2017

In this study, a novel robust measure of non‐linearity‐based cubature Kalman filter (RMoNCKF) is proposed to obtain good performance with lower computational burden. The proposed filter inherits the virtues of high accuracy of the high‐degree filter and computation efficiency of the low‐degree one. When the measure of non‐linearity (MoN) is evaluated and compared with the threshold in the dynamic system, the cubature rules nested in the RMoNCKF can be switched autonomously to decrease the computation complexity in the low non‐linear condition. Furthermore, the robust estimation technology can help to improve the value of MoN for the non‐Gaussian distributed case. Simulation results of target tracking and integrated navigation system demonstrate that the RMoNCKF can have a close performance to the fifth‐degree CKF with less computation time. In the circumstances of the time‐varying noise and contaminated Gaussian distributed noise, the RMoNCKF outperforms the UKF, the third‐degree CKF and fifth‐degree CKF.

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