Target HeaTarget heading estimation using Lagrange difference method through bearing only measurementding estimation using Lagrange Difference formula through Bearing only measurement

  • Authors

    • B Sindhu VIT University
    • J Valarmathi VIT University
    • S Christopher DRDO, Delhi
    2018-12-17
    https://doi.org/10.14419/ijet.v7i4.14917
  • Lagrange Three Point Difference Method, Centered Difference Method, Derived Heading, Bearing Only Tracking, Maximum Absolute Error.

  • The bearing measurement in addition to the heading measurements increases the accuracy of the state estimate in bearing only tracking (BOT). Earlier, in [1] heading measurements are derived using set of three bearing measurements, mathematically known as centered difference method. In this paper we present the new approach using Lagrange three point difference method for deriving the heading measurements from set of bearing measurements. The performance analyses of the proposed approach is compared with the existing centered difference method using Root mean square error (RMSE), Root sum square error (RSSE) and maximum absolute error (MAE). The simulation results indicate that the Lagrange three point difference method performs comparatively better.

     

     

     

     

  • References

    1. [1] V.P. Panakkal, R. Velmurugan, Bearings-Only Tracking using Derived Heading, IEEE Aerospace Conference (2010) 1-11. https://doi.org/10.1109/AERO.2010.5446691.

      [2] R. Yang, G. Wah Ng, C. Swee Chia, a Bearing and Heading Tracker from a Stationary Sonar Sensor, Asia Pacific OCEANS (2006) 1-6. https://doi.org/10.1109/OCEANSAP.2006.4393965.

      [3] Y. Bar-Shalom, P. Willett, X. Tian, Tracking and Data Fusion: A Handbook of Algorithms, YBS Publishing, 2011.

      [4] W. Grossman, Bearings-Only Tracking: A Hybrid Coordinate System Approach, IEEE conference on Decision and Control (1991) 2032 – 2037.

      [5] Y. Xie, X. Lin, X. Bian et.al, Multiple Model Adaptive Nonlinear Observer of Dynamic Positioning Ship, Mathematical Problems in Engineering (2013) 1-11.

      [6] M. Lei, C. Baehr, RBPF-based Tracker with Adaptive Parameter Model for Maneuvering Tracking, IEEE International Conference on Computer Science and Automation Engineering (2011) 686–692.

      [7] M. Mallick, Y. Bar-Shalom, T. Kirubarajan et.al, An Improved Single-Point Track Initiation Using GMTI Measurements, IEEE Transactions on Aerospace and Electronic Systems, 51(4), (2015) 2697-2713. https://doi.org/10.1109/TAES.2015.140599.

      [8] V.P.S Naidu, Fusion architectures for 3d target tracking using IRST and radar measurements, Journal of aerospace sciences & technologies (2010) 183-195.

      [9] J.R Raol, Multi-sensor data fusion with MATLAB, CRC press, 2009. https://doi.org/10.1201/9781439800058.

      [10] S. Blackman, R. Popoli, Design and analysis of modern tracking systems, Artech House, 1999.

      [11] K. Spingarn, Passive position Location Estimation Using the Extended Kalman Filter, IEEE transactions on Aerospace and Electronic systems, 23(4), (1987) 558-567. https://doi.org/10.1109/TAES.1987.310889.

      [12] B. Ristic, S. Arulampalam, N. Gordon, Beyond the Kalman Filter: Particle Filters for Tracking Applications, Artech House, 2004.

      [13] M. Mallick, S. Arulampalam, Comparison of Nonlinear Filtering Algorithms in Ground Moving Target Indicator Target Tracking, Proceedings of SPIE, (2003). https://doi.org/10.1117/12.506803.

      [14] D.V. Griffiths, I.M. Smith, Numerical methods for Engineers: A Programming approach, CRC Press, 1991.

      [15] M. Mallick, M. Morelande, L. Mihaylova et.al, Integrated Tracking, Classification, and Sensor Management: Theory and Applications, Wiley/IEEE, pp. 3-42, 2012.

      [16] J.H Mathews, K.K Fink, Numerical Methods Using Matlab, Prentice-Hall Inc, 2004.

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  • How to Cite

    Sindhu, B., Valarmathi, J., & Christopher, S. (2018). Target HeaTarget heading estimation using Lagrange difference method through bearing only measurementding estimation using Lagrange Difference formula through Bearing only measurement. International Journal of Engineering & Technology, 7(4), 3995-3998. https://doi.org/10.14419/ijet.v7i4.14917