EKF based Data Fusion using Interval Analysis via Covariance Intersection, ML and a Class of OGK Covariance Estimators

Samuel B. Lazarus, Antonios Tsourdos, João Sequeira, Al Savvaris

2012

Abstract

This paper addresses the comparison of robust estimation of a covariance matrix in vehicle navigation task to express the uncertainty when fusing information from multiple sensors. The EKF estimates are fused with the Interval Analysis estimates and further the results are fused using the Covariance Intersection (CI), Maximum Likelihood (ML) and a class of Orthogonal Gnanadesikan-Kettenring (OGK) estimators. The simulation results presented show that the variation between CI and OGK and the correlation between sensors are significant in the presence of outliers.

References

  1. Ashokaraj, I. A. R. (2004). Feature based navigation and localisation using interval analysis. Phd thesis, Cranfield University.
  2. Ashokaraj, I. A. R., Silson, P. M. G., Tsourdos, A., and White, B. A. (2009). Robust sensor-based navigation for mobile robots. IEEE Transactions on Instrumentation and Measurement, 58(3):551-556.
  3. Carvalho, K. F. A. C. D. and Rezende, S. O. (2004). Combining intelligent techniques for sensor fusion. Applied Intelligence, 20:199213.
  4. Copt, S. and Victoria-Feser, M. (2003). Fast algorithms for computing high breakdown covariance matrices with missing data.
  5. Gnanadesikan, R. and Kettenring, J. (1972). Robust estimates, residuals, and outlier detection with multiresponse data. Biometrics, 28(1):81-124.
  6. Jaulin, L., Kieffer, M., Didrit, O., and Walter, E. (2001). Applied Interval Analysis with examples in parameter and state estimation robust control and robotics. Springer-Verlag, London.
  7. Jaulin, L. and Walter, E. (1993). Set inversion via interval analysis for nonlinear bounded-error estimation. Automatica, 29(4):1053 to 1064.
  8. Julier, S. J. and Uhlmann, J. K. (1997). A non-divergent estimation algorithm in the presence of unknown correlations. In American Control Conference, pages 2369-2373, Albuquerque, New Mexico.
  9. Kieffer, M., Jaulin, L., Walter, E., and Meizel, D. (2000). Robust autonomous robot localization using interval analysis. Reliable Computing, 3(6):337 to 361.
  10. Lazarus, S. B., Tsourdos, A., Silson, P., White, B. A., and Zbikowski, R. (2008). Unmanned aerial vehicle navigation andmapping. Proc.IMechE. Part G: J. Aerospace Engineering, 222(246):531 - 548.
  11. Léveˆque, O., Jaulin, L., Meizel, D., and Walter, E. (1997). Vehicle localization from inaccurate telemetric data: a set-inversion approach. In 5th IFAC Symp on Robot Control SY.RO.CO. 7897, Nantes, France, volume 1, pages 179 - 186.
  12. Montemerlo, M., Thrun, S., Koller, D., and Wegbreit, B. (2002). FastSLAM: A Factored Solution to the Simultaneous Localization and Mapping Problem. In Procs. of the 8th AAAI National Conf. on Artificial Intelligence. Edmonton, Alberta, Canada.
  13. Mourikis, A. I. and Roumeliotis, S. I. (2006). Predicting the Performance of Cooperative Simultaneous Localization and Mapping (C-SLAM). The International Journal of Robotics Research, 25(12):1273-1286.
  14. Vadakkepat, P. and Jing, L. (2006). Improved particle filter in sensor fusion for tracking randomly moving object. IEEE Transactions on Instrumentation and Measurement, 55(5):1823-1832.
  15. Walter, M. and Leonard, J. (2004). An Experimental Investigation of Cooperative SLAM. In Procs. of the 5th IFAC Symposium on Intelligent Autonomous Vehicles, (IAV 2004). Lisbon, Portugal.
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Paper Citation


in Harvard Style

B. Lazarus S., Tsourdos A., Sequeira J. and Savvaris A. (2012). EKF based Data Fusion using Interval Analysis via Covariance Intersection, ML and a Class of OGK Covariance Estimators . In Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8565-21-1, pages 610-613. DOI: 10.5220/0004040406100613


in Bibtex Style

@conference{icinco12,
author={Samuel B. Lazarus and Antonios Tsourdos and João Sequeira and Al Savvaris},
title={EKF based Data Fusion using Interval Analysis via Covariance Intersection, ML and a Class of OGK Covariance Estimators},
booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2012},
pages={610-613},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004040406100613},
isbn={978-989-8565-21-1},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - EKF based Data Fusion using Interval Analysis via Covariance Intersection, ML and a Class of OGK Covariance Estimators
SN - 978-989-8565-21-1
AU - B. Lazarus S.
AU - Tsourdos A.
AU - Sequeira J.
AU - Savvaris A.
PY - 2012
SP - 610
EP - 613
DO - 10.5220/0004040406100613