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A robust set approach for mobile robot localization in ambient environment

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Abstract

Mobile robot localization consists in estimating the robot coordinates using real-time measurements. In ambient environment context, data can come both from the robot on-board sensors and from environment objects, mobile or not, able to sense the robot. The paper considers localization problem as a nonlinear bounded-error estimation of the state vector. The components of the state vector are the robot coordinates as well as the 2D position and orientation. The approach based on interval analysis can satisfy the needs of ambient environment by easily taking account a heterogeneous set and a variable number of measurements. Bounded-error state estimation can be an alternative to particle filtering which is sensitive to non-consistent measures, large measure errors, and drift of evolution model. The paper addresses the theoretical formulation of the set-membership approach and the application to the estimation of the robot localization. Additional treatments are added to the estimator in order to meet more realistic conditions. Treatments aim at reducing the effects of disruptive events: outliers, model inaccuracies or model drift and robot kidnapping. Simulation results show the contribution of each step of the estimator.

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References

  • Bar-Shalom Y. (1998). Estimation and tracking: Principles, techniques, and software. Artech House, Boston, MA, 1993. Reprinted by YBS Publishing.

  • Benhamou, F., Goualard, F., Granvilliers, L., & Puget, J. F. (1999). Revising hull and box consistency. In International conference on logic programming (pp. 230–244). MIT press.

  • Casini, M., Garulli, A. & Vicino, A. (2014). A constraint selection technique for recursive set membership identification. In Proceeding of 19th IFAC world congress (pp. 1790–1795).

  • Castellanos, J. M., Neira, J. & Tardos, J. D. (2004). Limits to the consistency of EKF based SLAM. In Proceedings of the 5th IFAC CSymposium on intelligent autonomous vehicles (pp. 1244–1249).

  • Ceccarelli, N., Di Marco M., Garulli, A., Giannitrapani, A. & Vicino, A. (2006). Set membership localization and map building for mobile robots. In Current trends in nonlinear systems and control (pp. 289–308). Springer.

  • Cox, I. J. (1991). Blanche—An experiment in guidance and navigation of an autonomous mobile robot. IEEE Transactions on Robotics and Automation, 7(3), 193–204.

    Article  Google Scholar 

  • Di Marco, M., Garulli, A., Giannitrapani, A., & Vicino, A. (2004). A set theoretic approach to dynamic robot localization and mapping. Autonomous Robots, 16, 23–47.

    Article  Google Scholar 

  • Dissanayake, G., Huang, S. & Wang, Z. (2011). A review of recent developments in simultaneous localization and mapping . In proceeding of IEEE international conference on industrial and information systems (ICIIS) (pp. 477–482).

  • Dissanayake, M., Newman, P., Clark, S., Durrant-Whyte, H. F., & Csorba, M. (2001). A solution to the simultaneous localization and map building (SLAM) problem. IEEE Transactions on Robotics and Automation, 17(3), 229–241.

    Article  Google Scholar 

  • Drevelle, V. & Bonnifait P. (2010). Robust positioning using relaxed constraint-propagation. In Proceeding of international conference on intelligent robots and systems (IROS) (vol. 10, pp. 4843–4848).

  • Drocourt, C., Delahoche, L., Marhic, B. & Brassart, E. (2003). Localization of a robot and guaranteed map building using interval analysis. In Proceeding of international conference on principles and practice of constraint programming (pp. 17–32).

  • Filliat, D., & Meyer, J. (2003). Map-based navigation in mobile robots, a review of localization strategies. Journal of Cognitive Systems Research, 4(4), 243–282.

    Article  Google Scholar 

  • Garulli, A., & Vicino, A. (2001). Set membership localization of mobile robots via angle measurements. IEEE Transactions on Robotics and Automation, 17(4), 450–463.

    Article  Google Scholar 

  • Gustafson, F. (2010). Particle filter theory and practice with positioning applications. IEEE Aerospace and Electronic Systems Magazine, 7(25), 53–81.

    Article  Google Scholar 

  • Hanebeck U. D., Schmidt G. (1996). Set theoretical localization of fast mobile robots using an angle measurement technique. In Proceeding of IEEE international conference on robotics and automation (ICRA) (pp. 1387–1394).

  • Jaulin, L. (2009). Robust set-membership state estimation; application to underwater robotics. Automatica, 45(1), 202–206.

    Article  MathSciNet  MATH  Google Scholar 

  • Jaulin, L., Kieffer, M., Walter, E., & Meizel, D. (2002). Guaranteed robust nonlinear estimation with application to robot localization. IEEE Transaction SMC, Part C Applications and Review, 32(4), 254–267.

    Google Scholar 

  • Jaulin, L., & Walter, E. (1993). Set inversion via interval analysis for nonlinear bounded-error estimation. Automatica, 29(4), 1053–1064.

    Article  MathSciNet  MATH  Google Scholar 

  • Kieffer, M., Jaulin, L., Walter, E., & Meizel, D. (2000). Robust autonomous robot localization using interval analysis. Reliable Computing, 6(3), 337–362.

    Article  MathSciNet  MATH  Google Scholar 

  • Lambert, E., A., Gruyer, D., Vincke B. & Seignez, E. (2009) Consistent Outdoor Vehicle Localization by Bounded-Error State Estimation. In Proceeding of international conference on robots and systems (IROS) (pp. 1211–1216).

  • Lefebvre, T., Bruyninckx, H., & De Schutter, J. (2004). Kalman filters for non-linear systems: A comparison of performance. International Journal of Control, 77(7), 639–653.

    Article  MathSciNet  MATH  Google Scholar 

  • Leonard, J. J., Durrant-Whyte, H. F., & Cox, I. J. (1992). Dynamic map building for an autonomous mobile robot. IEEE Transactions on Robotics and Automation, 11(4), 89–96.

    Google Scholar 

  • Lévêque, O., Jaulin, L., Meizel, D. & Walter, E. (1997). Vehicule localization from inaccurate telemetric data: a set of inversion approach. In proceeding IFAC symposium on robot Control (vol. 1, pp. 179–186).

  • Li, X. R., & Zhao, Z. (2006). Evaluation of estimation algorithms part I: Incomprehensive measures of performance. IEEE Transactions on Aerospace and Electronic Systems, 42(4), 1340–1358.

    Article  Google Scholar 

  • Moore, R. E. (1979). Method and applications of internal analysis. Philadelphia: SIAM.

    Book  Google Scholar 

  • Paull, L., Saeedi, S., Seto, M., & Li, H. (2014). AUV navigation and localization-ng A review. IEEE Oceanic Engineering Journal, 39(1), 131–149.

    Article  Google Scholar 

  • Piasecki, M. (1995). Global localization for mobile robots by multiple hypothesis tracking. Robotics and Autonomous Systems, 6, 93–104.

    Article  Google Scholar 

  • Reynet, O., Jaulin, L. & Chabert, G. (2009). Robust TDOA passive location using interval analysis and contractor. In Proceeding of international conference on radar (pp. 1–6).

  • Sabater A., Thomas F. (1991). Set membership approach to the propagation of uncertain geometric information. In Proceeding of IEEE international conference on robotics and automation (ICRA) (pp. 2718–2723).

  • Seignez, E., Kieffer, E. M., Lambert, A., Walter, E., & Maurin, T. (2009). Realtime bounded-error state estimation for vehicle tracking. International Journal of Robotics Research, 28(1), 34–48.

    Article  Google Scholar 

  • Thrun, S., Fox, D., Burgard, W., & Dellaert, F. (2000). Robust Monte Carlo localization for mobile robots. Artificial Intelligence, 128(1–2), 99–141.

    MATH  Google Scholar 

  • Waltz, D. L. (1972). Generating semantic description from drawings of scenes with shadows. Ph.D. thesis, Massachusetts Institute of Technology.

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Correspondence to Etienne Colle.

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Colle, E., Galerne, S. A robust set approach for mobile robot localization in ambient environment. Auton Robot 43, 557–573 (2019). https://doi.org/10.1007/s10514-018-9727-4

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  • DOI: https://doi.org/10.1007/s10514-018-9727-4

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