AB - The main contribution of this paper is a theoretical analysis of the Extended Kalman Filter (EKF) based solution to the simultaneous localisation and mapping (SLAM) problem. The convergence properties for the general nonlinear two-dimensional SLAM are provided. The proofs clearly show that the robot orientation error has a significant effect on the limit and/or the lower bound of the uncertainty of the landmark location estimates. Furthermore, some insights to the performance of EKF SLAM and a theoretical analysis on the inconsistencies in EKF SLAM that have been recently observed are given. © 2006 IEEE. AU - Shoudong, H AU - Dissanayake, G DA - 2006/12/27 DO - 10.1109/ROBOT.2006.1641746 EP - 417 JO - Proceedings - IEEE International Conference on Robotics and Automation PY - 2006/12/27 SP - 412 TI - Convergence analysis for extended Kalman filter based SLAM VL - 2006 Y1 - 2006/12/27 Y2 - 2026/05/25 ER -