AUTHORS: Bao-bao Wang, Pan-long Wu
Download as PDF
ABSTRACT: In order to improve the tracking precision of underwater bearing-only target, a novel filteringsmoothing algorithm based on Square-Root Unscented Kalman Filter (SR-UKFS) is proposed to track underwater target. In the SR-UKFS algorithm, Square-Root Unscented Kalman Filter (SR-UKF) is used as forward-filtering algorithm to provide current location results, Rauch-Tung-Striebel (RTS) algorithm smoothes the previous state vector and covariance matrix using the current location results, therefore an initial value with higher precision is obtained to get more precise locating results. The simulation results show that the SR-UKFS is an effective underwater bearing-only target tracking method, and it performs better than general Unscented Kalman Filter (UKF) and SR-UKF in tracking precision and stability.
KEYWORDS: Target tracking, Bearing-only, SR-UKFS, Forward-filtering, Backward-smoothing
REFERENCES:
[1] Hu You-feng, Jiao-Bing-li. Passive underwater target motion analysis based upon bearingelevation measurement in three dimensions
[J]. Acta simulate ayatematica sinica, Vol.15, No.6, 2003, pp. 776-779.
[2] Wu Pan-long, Wang Bao-bao, Cai Ya-dong, et al. Single observer passive target tracking based on extended H∞ filter
[J]. Journal of Chinese Inertial Technology, Vol.18, No.5, 2010, pp. 591-594.
[3] Wang Bo, Xu De-min, Shen Meng. Underwater passive target motion analysis based on UKF
[J]. Journal of Projectiles, Rockets, Missiles and Guidance, Vol.25, No.2, 2005, pp. 423-426.
[4] Pan-long Wu, Bao-bao Wang, Cun-hui Ji. Design and realization of short range defence radar target tracking system based on DSP/FPGA
[J]. WSEAS Transactions on System, Vol. 10, No. 11, 2011, pp.376-386.
[5] Bao-bao Wang, Lian-zheng Zhang. Information Fusion of Airborne radar and ESM for maneuvering target tracking system based on IMM-BLUE
[J]. WSEAS Transactions on System, Vol. 13, No. 11, 2014, pp.699-707.
[6] S. J. Julier, J. K. Uhlmann, H. F. DurrantWhyte. A new method for the nonlinear transformation of means and covariances in filters and estimators. IEEE Trans On Automatic Control, 2000, pp. 477-482.
[7] Wu Pan-long, Kong Jian-shou. Under bearingonly target tracking based on Square-root UKF
[J]. Journal of Nanjing University of Science and Technology (Natural Science), Vol.33, No.6, 2009, pp. 751-755.
[8] H. E Rauch, F. Tung, C. T. Striebel. Maximum likelihood estimates of linear dynamic system
[J]. AIAA J, 1965, pp.1445-1450.
[9] Y. Cao, X. C. Mao. Improved FilteringSmoothing Algorithm for GPS Positioning
[C], in: Beijing, China: Proceedings of the 11th International IEEE Conference on Intelligent Transportation Systems, 2008, pp. 857-861.
[10] Fan ZHANG, Panlong WU, Longmei ZHAO. Improved SR-UKF algorithm for Mobile Robot Tracking
[J]. Journal of Computational Information System, Vol.8, No.15, 2012, pp. 6499-6506.
[11] Farina A. Target tracking with bearing-only measurements
[J]. Signal Process, Vol.78, No.1, 1999, pp. 61-78.
[12] Yu Chun-lai, Zhan Rong-hui, Wan Jian-wei. Research on robust UKF algorithm for single observer passive target tracking based on polar coordinates
[J]. Journal of National University of Defense and Technology, Vol.30, No.5, 2008, pp. 73-79.
[13] Julier S, Uhlmann J, Hugh F. A new method for the nonlinear transformation of means and covariance in filters and estimators
[J]. IEEE Transaction on Automatic Control, Vol.45, No.3, 2000, pp. 477-482.
[14] Sadhu S, Modndal S, Srinivasan M. Sigma point Kalman filter for bearing only tracking
[J]. Signal Processing, Vol.45, 2006, pp. 3769- 3777.
[15] Rudolph van der Merwe, Eric A.Wan. The square root unscented Kalman filter for state and parameter estimation
[C]. Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing, New York, 2001, pp. 3461-3464.