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$H_{\infty}$ Filter Based Robust Simultaneous Localization and Mapping for Mobile Robots  

Jeon, Seo-Hyun (ETRI)
Lee, Keon-Yong (Korea University)
Doh, Nakju Lett (Korea University)
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Abstract
The most basic algorithm in SLAM(Simultaneous Localization And Mapping) technique of mobile robots is EKF(Extended Kalman Filter) SLAM. However, it requires prior information of characteristics of the system and the noise model which cannot be estimated in accurate. By this limit, Kalman Filter shows the following behaviors in a highly uncertain environment: becomes too sensitive to internal parameters, mathematical consistency is not kept, or yields a wrong estimation result. In contrast, $H_{\infty}$ filter does not requires a prior information in detail. Thus, based on a idea that $H_{\infty}$ filter based SLAM will be more robust than the EKF-SLAM, we propose a framework of $H_{\infty}$ filter based SLAM and show that suggested algorithm shows slightly better result man me EKF-SLAM in a highly uncertain environment.
Keywords
$H_{\infty}$ filter; Kalman Filter; EKF-SLAM; mobile robot;
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1 Guoquan P. Huang, Anastasios I. Mourikis and Stergios I. Roumeliotis, "On the Complexity and Consistency of UKF-based SLAM," IEEE International Conference on Robotics and Automation, pp. 4401-4408, 2009.
2 M. Montemerlo, S. Thrun, D. Koller, and B. Wegbreit, "Fast-SLAM: A factored solution to the simultaneous localization and mapping problem," AAAI National Conference on Artificial Intelligence, pp. 593-598, 2002.
3 M. Montemerlo, S. Thrun, D. Koller, and B. Wegbreit, "Fast-SLAM 2.0: An improved particle ¯ltering algorithm for simul-taneous localization and mapping that provably converges," International Joint Conference on Artificial Intelligence, pp. 1151-1156, 2003.
4 전서현, 도낙주, "Robust Data Estimation for Simultaneous Localization and Mapping : a hybrid approach of $H_{\infty}$ and Extended Kalman Filter," 고려대학교 대학원 학위논문, 2009년 02월.
5 Hamzah Ahmad and Toru Namerikawa, "$H{\infty}$ filtering convergence and it's application to SLAM," ICROS-SICE International Joint Conference, pp. 2875-2880, 2009.
6 T. Basar and P. Bernhard, $H_{\infty}-Optimal $ Control and Related Minimax Design Problems: a dynamic game approach 2nd ed., Birkhauser, 1995.
7 Dan Simon, Optimal State Estimation, WILEY, pp. 333-391, 2006.
8 X. Shen and L. Deng, "Game Theory Approach to discrete $H_{\infty}$ Filter Design," IEEE Transactions on Signal Processing, vol. 45, no. 4, pp. 1092-1095, 1997.   DOI   ScienceOn
9 Y. S. Hung and F. Yang, "Robust $H_{\infty}$ filtering with error variance constraints for discrete time-varying systems with uncertainty," Automatica, vol 39, no. 7, pp. 1185-1194, 2003.   DOI   ScienceOn
10 H. Durrant-Whyte and T. Bailey, "Simultaneous Localization and Mapping: Part I," IEEE Robotics and Automation Magazine, vol. 13, no. 2, pp. 99–110, 2006.
11 S. Julier, J. Uhlmann, and H. F. Durrant-Whyte, "A new method for the nonlinear transformation of means and covariances in filters and estimators," IEEE Transactions on Automatic Control, vol. 45, no. 3, pp. 477-482, 2000.   DOI   ScienceOn
12 T. Bailey and H. Durrant-Whyte, "Simultaneous Localization and Mapping(SLAM): Part II," IEEE Robotics and Automation Magazine, vol. 13, no. 3, pp. 108-117, 2006.
13 Guoquan P. Huang, Anastasios I. Mourikis and Stergios I. Roumeliotis, "Observability-based Rules for Designing Consistent EKF SLAM Estimators," The International Journal of Robotics Research, Vol. 29, no. 5, pp. 502-528, 2010.   DOI   ScienceOn