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Distributed fusion receding horizon filtering for uncertain linear stochastic systems with time-delay sensors

A new distributed fusion receding horizon filtering problem is investigated for uncertain linear stochastic systems with time-delay sensors. First, we construct a local receding horizon Kalman filter having time delays (LRHKFTDs) in both the system and measurement models. The key technique is the de...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2012-04, Vol.349 (3), p.928-946
Main Authors: Young Song, Il, Shin, Vladimir, Jeon, Moongu
Format: Article
Language:English
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Summary:A new distributed fusion receding horizon filtering problem is investigated for uncertain linear stochastic systems with time-delay sensors. First, we construct a local receding horizon Kalman filter having time delays (LRHKFTDs) in both the system and measurement models. The key technique is the derivation of recursive error cross-covariance equations between LRHKFTDs in order to compute the optimal matrix fusion weights. It is the first time to present distributed fusion receding horizon filter for linear discrete-time systems with delayed sensors. It has a parallel structure that enables processing of multisensory time-delay measurements, so the calculation burden can be reduced and it is more reliable than the centralized version if some sensors turn faulty. Simulations for a multiple time-delays system show the effectiveness of the proposed filter in comparison with centralized receding horizon filter and non-receding versions. ► Deriving a new distributed fusion receding horizon filtering for uncertain linear stochastic systems with time-delay sensors. ► Derivation of recursive error cross-covariance equations between local receding horizon Kalman filters. ► It has a parallel structure that enables processing of multisensory time-delay measurements. ► Reducing calculation burden. ► It is more reliable than the centralized version if some sensors turn faulty.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2011.10.022