ДИФУЗНА ІНІЦІАЛІЗАЦІЯ ФІЛЬТРА КАЛМАНА

The behavior of Kalman filter is studied at interpretation of unknown initial conditions as the random variables having a covariance matrix proportional to large positive parameter. The developed approach permits to express characteristics of the filter in an analytic form, to explain phenomenon of...

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Bibliographic Details
Date:2011
Main Author: Skorohod, B.A.
Format: Article
Language:English
Published: V.M. Glushkov Institute of Cybernetics of NAS of Ukraine 2011
Online Access:https://jais.net.ua/index.php/files/article/view/555
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Journal Title:Problems of Control and Informatics

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Problems of Control and Informatics
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Summary:The behavior of Kalman filter is studied at interpretation of unknown initial conditions as the random variables having a covariance matrix proportional to large positive parameter. The developed approach permits to express characteristics of the filter in an analytic form, to explain phenomenon of divergence and suggest a limiting estimation algorithm which is independent of large initial parameter leading to divergence. As the application two problems — filtering with a sliding window and parameter estimation of separable regression are considered. The re-ceived results are illustrated by example of radial basic neural network training.