It is shown that the covariance intersection fusion rule, widely used in the context of distributed estimation, has a nice information-theoretic interpretation in terms of consensus on the Kullback-Leibler average of Gaussian probability density functions (PDFs). Based on this observation, a novel distributed state estimator based on the consensus among local posterior PDFs is proposed and its stability properties are analyzed.

An information theoretic approach to distributed state estimation / G. Battistelli; L. Chisci; S. Morrocchi; F. Papi. - ELETTRONICO. - (2011), pp. 12477-12482. (Intervento presentato al convegno 18th IFAC World Congress tenutosi a Milano, Italy) [10.3182/20110828-6-IT-1002.01998].

An information theoretic approach to distributed state estimation

BATTISTELLI, GIORGIO;CHISCI, LUIGI;MORROCCHI, STEFANO;PAPI, FRANCESCO
2011

Abstract

It is shown that the covariance intersection fusion rule, widely used in the context of distributed estimation, has a nice information-theoretic interpretation in terms of consensus on the Kullback-Leibler average of Gaussian probability density functions (PDFs). Based on this observation, a novel distributed state estimator based on the consensus among local posterior PDFs is proposed and its stability properties are analyzed.
2011
Proceedings 18th IFAC World Congress
18th IFAC World Congress
Milano, Italy
G. Battistelli; L. Chisci; S. Morrocchi; F. Papi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/600252
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