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State estimation of connected vehicles using a nonlinear ensemble filter

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Abstract

The concept of connected vehicles is with great potentials for enhancing the road transportation systems in the future. To support the functions and applications under the connected vehicles frame, the estimation of dynamic states of the vehicles under the cooperative environments is a fundamental issue. By integrating multiple sensors, localization modules in OBUs (on-board units) require effective estimation solutions to cope with various operation conditions. Based on the filtering estimation framework for sensor fusion, an ensemble Kalman filter (EnKF) is introduced to estimate the vehicle’s state with observations from navigation satellites and neighborhood vehicles, and the original EnKF solution is improved by using the cubature transformation to fulfill the requirements of the nonlinearity approximation capability, where the conventional ensemble analysis operation in EnKF is modified to enhance the estimation performance without increasing the computational burden significantly. Simulation results from a nonlinear case and the cooperative vehicle localization scenario illustrate the capability of the proposed filter, which is crucial to realize the active safety of connected vehicles in future intelligent transportation.

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References

  1. JABBOUR M, BONNIFAIT P, CHERFAOUI V. Map-matching integrity using multihypothesis road-tracking [J]. Journal of Intelligent Transportation Systems: Technology, Planning, and Operations, 2008, 12(4): 189–201.

    Article  MATH  Google Scholar 

  2. SIVARAMAN S, TRIVEDI M. Looking at vehicles on the road: A survey of vision-based vehicle detection, tracking, and behavior analysis [J]. IEEE Transactions on Intelligent Transportation Systems, 2013, 14(4): 1773–1795.

    Article  Google Scholar 

  3. KLOEDEN H, SCHWARZ D, RASSHOFER R H, BIEBL E M. Fusion of cooperative localization data with dynamic object information using data communication for preventative vehicle safety applications [J]. Advances in Radio Science, 2013, 11: 67–73.

    Article  Google Scholar 

  4. JO K, CHU K, SUNWOO M. Interacting multiple model filter-based sensor fusion of GPS with in-vehicle sensors for real-time vehicle positioning [J]. IEEE Transactions on Intelligent Transportation Systems, 2012, 13(1): 329–343.

    Article  Google Scholar 

  5. WEI L J, CAPPELLE C, RUICHEK Y. Camera/laser/gps fusion method for vehicle positioning under extended nis-based sensor validation [J]. IEEE Transactions on Instrumentation and Measurement, 2013, 62(11): 3110–3122.

    Article  Google Scholar 

  6. ZAMORA-IZQUIERDO M A, BETAOLLE D, PEYRET F, JOLY C. Comparative study of extended Kalman filter, linearised Kalman filter and particle filter applied to low-cost GPS-based hybrid positioning system for land vehicles [J]. International Journal of Intelligent Information and Database Systems, 2008, 2(2): 149–166.

    Article  Google Scholar 

  7. GOH S T, ABDELKHALIK O, ZEKAVAT S. A weighted measurement fusion kalman filter implementation for UAV navigation [J]. Aerospace Science and Technology, 2013, 28(1): 315–323.

    Article  Google Scholar 

  8. CHANG T, HSIAO H, CHEN C. Vehicle navigation filter designs using adaptive constraint-filtering method [J]. IET Radar, Sonar and Navigation, 2014, 8(4): 355–367.

    Article  Google Scholar 

  9. LEE E, OH S Y, GERLAA M. RFID assisted vehicle positioning in VANETs [J]. Pervasive and Mobile Computing, 2012, 8(2): 167–179.

    Article  Google Scholar 

  10. NOURELDIN A, EL-SHAFIE A, BAYOUMI M. GPS/INS integration utilizing dynamic neural networks for vehicular navigation [J]. Information Fusion, 2011, 12: 48–57.

    Article  Google Scholar 

  11. ALAM N, ASGHAR T, DEMPSTER A. A DSRC Doppler-based cooperative positioning enhancement for vehicular networks with GPS availability J]. IEEE Transactions on Vehicular Technology, 2011, 60(9): 4462–4470.

    Article  Google Scholar 

  12. PARKER R, VALAEE S. Cooperative vehicle position estimation[C]//Proceedings of IEEE International Conference on Communications. Piscataway: IEEE, 2007: 5837–5842.

    Google Scholar 

  13. EFATMANESHNIK M, KEALY A, ALAM N, DEMPSTER A. A cooperative positioning algorithm for DSRC enabled vehicular networks [J]. Archives of Photogrammetry, Cartography and Remote Sensing, 2011, 22: 117–129.

    Google Scholar 

  14. JULIER S J, UHLMANN J K. Unscented filtering and nonlinear estimation [J]. Proceedings of the IEEE, 2004, 92(3): 401–422.

    Article  Google Scholar 

  15. ZHU J, ZHENG N, YUAN J, ZHANG Q. A SLAM algorithm based on the central difference Kalman filter [C]// Proceedings of IEEE Intelligent Vehicles Symposium. Piscataway: IEEE, 2009: 123–128.

    Google Scholar 

  16. ARASARATNAM I, HAYKIN S. Cubature Kalman filters [J]. IEEE Transactions on Automatic Control, 2009, 54(6): 1254–1269.

    Article  MathSciNet  Google Scholar 

  17. EVENSEN G. Sequential data assimilation with a nonlinear quasi-geostrophic model using montecarlo methods to forecast error statistics [J]. Journal of Geophysical Research, 1994, 99: 143–162.

    Article  Google Scholar 

  18. EVENSEN G. The ensemble Kalman filter: theoretical formulation and practical implementation [J]. Ocean Dynamics, 2003, 53: 343–367.

    Article  Google Scholar 

  19. LI J, XIU D. On numerical properties of the ensemble Kalman filter for data assimilation [J]. Computer Methods in Applied Mechanics and Engineering, 2008, 197: 3574–3583.

    Article  MATH  MathSciNet  Google Scholar 

  20. LUO X, MOROZA I M. Ensemble Kalman filter with the unscented transform [J]. Physica D, 2009, 238: 549–562.

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to Jiang Liu  (刘江).

Additional information

Foundation item: Project(4144081) supported by Beijing Natural Science Foundation, China; Projects(61403021, U1334211, 61490705) supported by the National Natural Science Foundation of China; Project(2015RC015) supported by the Fundamental Research Funds for Central Universities, China; Project supported by the Foundation of Beijing Key Laboratory for Cooperative Vehicle Infrastructure Systems and Safety Control, China

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Liu, J., Chen, Hz., Cai, Bg. et al. State estimation of connected vehicles using a nonlinear ensemble filter. J. Cent. South Univ. 22, 2406–2415 (2015). https://doi.org/10.1007/s11771-015-2767-4

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  • DOI: https://doi.org/10.1007/s11771-015-2767-4

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