Technical Report CIS-2011-01

TR#:CIS-2011-01
Class:CIS
Title: A “Thermodynamic” Approach to Multi-Robot Cooperative Localization
Authors: Yotam Elor and Alfred M. Bruckstein
PDFCIS-2011-01.pdf
Abstract: We propose a new approach to the simultaneous cooperative localization of a very large group of simple robots capable of performing dead-reckoning and sensing the relative position of nearby robots. In the last decade, the use of distributed optimal Kalman filters (KF) to address this problem has been studied extensively. In this paper, we propose to use a very simple encounter based averaging process (denoted by EA). The idea behind EA is the following: every time two robots meet, they average their location estimates.

We assume that two robots meet whenever they are close enough to allow relative location estimation and communication. At each meeting event, the robots average their location estimations thus reducing the localization error. Naturally, the frequency of the meetings affects the localization quality. The meetings are determined by the robots' movement pattern. In this work we consider movement patterns which are “well mixing” i.e. every robot meets other robots and eventually all of the robots frequently. For such a movement pattern, the time course of the expected localization error is derived. We prove that EA is asymptotically optimal and requires significantly less computation and communication resources then KF.

CopyrightThe above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information

Remark: Any link to this technical report should be to this page (http://www.cs.technion.ac.il/users/wwwb/cgi-bin/tr-info.cgi/2011/CIS/CIS-2011-01), rather than to the URL of the PDF files directly. The latter URLs may change without notice.

To the list of the CIS technical reports of 2011
To the main CS technical reports page

Computer science department, Technion
admin