Title :
EKF based SLAM with FIM Inflation
Author :
Ahmad, Hamzah ; Namerikawa, Toru
Author_Institution :
Kanazawa Univ., Ishikawa, Japan
Abstract :
This paper deals with an analysis based on Fisher Information Matrix(FIM) for Extended Kalman Filter based Simultaneous Localization and Mapping(SLAM) problem. We show theoretically that the Cramer Rao Lower Bound is proportional to the number of landmarks, the magnitude of process and the measurement noises. In addition, we propose a method of adding a pseudo Positive semidefinite(PsD) matrix to the Fisher Information Matrix to decrease the computational cost in EKF based SLAM. The simulation results are convincing and realizes the improvement for EKF-based SLAM. Therefore, this method further improves the estimation in comparison with the normal EKF performance.
Keywords :
Kalman filters; SLAM (robots); matrix algebra; statistical analysis; Cramer Rao lower bound; EKF based SLAM; FIM inflation; Fisher information matrix; extended Kalman filter; pseudo positive semidefinite matrix; simultaneous localization and mapping; Covariance matrix; Estimation; Mobile robots; Noise; Robot kinematics; Simultaneous localization and mapping;
Conference_Titel :
Control Conference (ASCC), 2011 8th Asian
Conference_Location :
Kaohsiung
Print_ISBN :
978-1-61284-487-9
Electronic_ISBN :
978-89-956056-4-6