Distributed Multi-Robot Cooperative Localization Using Bayesian Fusion on the Special Euclidean Group

Embargo until
2015-05-01
Date
2014-05-07
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Publisher
Johns Hopkins University
Abstract
This thesis presents a new distributed cooperative localization technique using a second order sensor fusion method developed for the Special Euclidean group. Uncertainties in the robot pose, sensor measurements and landmark positions (neighboring robots in this case) are modeled as Gaussian distributions in exponential coordinates. This proves to be a better t for posterior distributions resulting from the motion of nonholonomic kinematic systems with stochastic noise (compared to standard Gaussians in Cartesian coordinates). We provide a recursive closed-form solution to the multi-sensor fusion problem that can be used to incorporate a large number of sensor measurements into the localization routine and can be implemented in real time. The technique can be used for nonlinear sensor models without the need for further simpli cations given that the required relative pose and orientation information can be provided, and it is scalable in that the computational complexity does not increase with the size of the robot team and increases linearly with the number of measurements taken from nearby robots. The proposed approach is validated with simulation rst conceptually in Matlab then more realistically in the robotics simulator ROS/Gazebo. It is also compared with one of the current state of the art methods (distributed EKF) and shows promising results.
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Keywords
multi-robot, distributed, cooperative localization, Lie group, exponential coordinate
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