Fifth degree cubature Kalman filter algorithm and its application

Zhao Xijing; Liu Guangbin; Wang Lixin; He Zhikun; Zhao Han

[1] Jazwinski A H. Stochastic Processes and Filtering Theory[M]. New York: Academic Press, 1970.

[2] Farina A, Ristic B, Benvenuti D. Tracking a ballistic target: comparison of several nonlinear filters[J]. IEEE Transactions on Aerospace Electronic System, 2002, 38: 854-867.

[3] Chang D C, Fang M W. Bearing-only maneuvering mobile tracking with nonlinear filtering algorithms in wireless sensor networks[J]. IEEE Systems Journal, 2014, 8(1): 160-170.

[4] Sebesta K, Boizot N. A real-time adaptive high-gain EKF, applied to a quadcopter inertial navigation system[J]. IEEE Transactions on Industrial Electronics, 2014, 61(1): 495-503.

[5] Sadeghi B, Moshiri B. Second-order EKF and unscented Kalman filter fusion for tracking maneuvering targets[C]//IEEE International Conference on Information Reuse and Integration, 2007: 514-519.

[6] Chang L B, Hu B Q, Li A, et al. Transformed unscented Kalman filter[J]. IEEE Transactions on Automatic Control, 2013, 58(1): 252-257.

[7] Yan Gongmin, Yan Weisheng, Xu Demin. Application of simplified UKF in SINS initial alignment for large misalignment angles[J]. Journal of Chinese Inertial Technology, 2008, 16(3): 253-264. (in Chinese)

[8] Nie Qi, Zhao Lin, Gao Wei. Research on unscented particle filter for initial alignment of SINS[J]. Journal of Astronautics, 2008, 29(1): 126-132. (in Chinese)

[9] Julier S J, Uhlmann J K. Unscented filtering and nonlinear estimation[J]. Proceedings of the IEEE, 2004, 92(3): 401-422.

[10] Arasaratnam I, Haykin S. Cubature Kalman filters[J]. IEEE Trans on Automatic Control, 2009, 54(6): 1254-1269.

[11] Arasaratnam I, Haykin S, Hurd T R. Cubature Kalman filtering for continuous-discrete systems: theory and simulations[J]. IEEE Transactions on Signal Processing, 2010, 58(10): 4977-4993.

[12] Pesonen H, Piché R. Cubature-based Kalman filters for positioning[C]//2010 7th Workshop on Positioning Navigation and Communication, 2010: 45-49.

[13] Sun Feng，Tang Lijun. Initial alignment of large azimuth misalignment angle in SINS based on CKF[J]. Chinese Journal of Scientific Instrument, 2012, 33(2): 327-333. (in Chinese)

[14] Mu J, Cai Y L, Zhang J M. Square root cubature particle filter[J]. Advanced Materials Research, 2011, 219-220: 727-731.

[15] Mu J, Cai Y L, Zhang J M. Square root cubature particle filter[J]. Advanced Materials Research, 2011, 219-220: 727-731.

[16] Huang J J, Zhong J L, Jiang F. A CKF based spatial alignment of radar and infrared sensors[C]//2010 IEEE 10th International Conference on Signal Processing, 2010: 2386-2390.