Optimal decentralized Kalman filter

S. Oruç, J. Sijs, P.P.J. Bosch, van den

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Abstract

The Kalman filter is a powerful state estimation algorithm which incorporates noise models, process model and measurements to obtain an accurate estimate of the states of a process. Implementation of conventional Kalman filter algorithm requires a central processor that harvests measurements from all the sensors in the field. Central algorithms have some drawbacks such as reliability, robustness and high computation which result in a need for non-central algorithms. This study takes optimality in decentralized Kalman filter (DKF) as its focus and derives the optimal decentralized Kalman filter (ODKF) algorithm, in case the network topology is provided to every node in the network, by introducing global Kalman equations. ODKF sets a lower bound of estimation error in least squares sense for DKF.
Original languageEnglish
Title of host publicationProceedings of the 17th Mediterranean Conference on Control and Automation, MED '09, 24-26 June 2009, Thessaloniki, Greece,
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages803-808
ISBN (Print)978-1-4244-4684-1
DOIs
Publication statusPublished - 2009

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