Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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An Estimation Method of the Covariance Matrix for Mobile Robots' Localization

이동로봇의 위치인식을 위한 공분산 행렬 예측 기법

  • Published : 2005.05.01
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Abstract

An empirical way of a covariance matrix which expresses the odometry uncertainty of mobile robots is proposed. This method utilizes PC-method which removes systematic errors of odometry. Once the systematic errors are removed, the odometry error can be modeled using the Gaussian probability distribution, and the parameters of the distribution can be represented by the covariance matrix. Experimental results show that the method yields $5{\%}$ and $2.3{\%}$ offset for the synchro and differential drive robots.

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References

  1. J. Borenstein and L. Feng, 'Measurement and correction of systematic odometry errors in mobile robots,' IEEE Trans. on Robotics and Automation, vol. 12, no. 6, pp. 869-880, 1996 https://doi.org/10.1109/70.544770
  2. N. L. Doh, H. Choset and W. K. Chung, 'Accurate relative localization using Odometry,' IEEE International Conference on Robotics and Automation, pp. 1606-1612, 2003
  3. A. Kelly, 'Linearized error propagation in odometry,' International Journal of Robotics Research, vol. 23, no. 2, pp. 179-218, 2004 https://doi.org/10.1177/0278364904041326
  4. A. Martinelli, 'The odometry error of a mobile robot with a synchronous drive system,' IEEE Trans. on Robotics and Automation, vol. 18, no. 3, pp. 399-405, 2002 https://doi.org/10.1109/TRA.2002.1019477
  5. S. Thrun, W. Burgard, and D. Fox, 'A probabilistic approach to concurrent mapping and localization for mobile robots,' Machine Learning, vol. 31, pp. 29-53, 1998 https://doi.org/10.1023/A:1007436523611
  6. C. M. Wang, 'Location estimation and uncertainty analysis for mobile robots,' in International Conference on Robotics and Automation, pp. 1230-1235, 1998 https://doi.org/10.1109/ROBOT.1988.12229
  7. K. S. Chong and L. Kleeman, 'Accurate odometry and error modelling for a mobile robot,' in International Conference on Robotics and Automation, pp. 2783-2788, 1997 https://doi.org/10.1109/ROBOT.1997.606708
  8. P. Goel, S. I. Roumeliotis, and G. S. Sukhatme, 'Robust localization using relative and absolute position estimates,' in Proc. of IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, pp. 1134-1140, 1999 https://doi.org/10.1109/IROS.1999.812832
  9. A. Martinelli, N. Tomastis, A. Tapus, and R. Siegward, 'Simultaneous localization and odometry calibration for mobile robot,' in Proc. of IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, pp. 1499-1504, 2003
  10. H. Choset and K. Nagatani, 'Topological SLAM: toward exact localization without explicit localization,' IEEE Trans. on Robotics and Automation, pp. 125-137, 2001 https://doi.org/10.1109/70.928558
  11. F. Chenavier and J. L. Crowley, 'Position estimation for a mobile robot using vision and odometry,' in International Conference on Robotics and Automation, pp. 2588-2593, 1992 https://doi.org/10.1109/ROBOT.1992.220052
  12. D. Krantz and M. Gini, 'Non-uniform dead-reckoning position estimate updates,' in International Conference on Robotics and Automation, pp. 2061-2066, 1996 https://doi.org/10.1109/ROBOT.1996.506174