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Noise covariance estimation for Kalman filter tuning using Bayesian approach and Monte Carlo

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F13%3A00199315" target="_blank" >RIV/68407700:21230/13:00199315 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1002/acs.2369" target="_blank" >http://dx.doi.org/10.1002/acs.2369</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1002/acs.2369" target="_blank" >10.1002/acs.2369</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Noise covariance estimation for Kalman filter tuning using Bayesian approach and Monte Carlo

  • Original language description

    Linear time-invariant systems play significant role in the control field. A number of methods have been published for identification of the deterministic part of a process. However, identification of the stochastic part has had much less attention. Thispaper deals with estimation of covariance matrices of the noise entering a linear system. The process and measurement noise covariance matrices are tuning parameters of the Kalman filter and they affect quality of the state estimation. The noise covariance matrices are generally not known and their estimation from the measured data is a challenging task. This paper introduces a method for estimation of the noise covariance matrices using Bayesian approach along with Monte Carlo numerical methods. Performance of the approach is tested on various systems and noise properties. The second part of the paper compares Monte Carlo approach to the recently published methods. The speed of convergence is compared to the Cramér-Rao bounds.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP103%2F11%2F1353" target="_blank" >GAP103/11/1353: State Estimation of Dynamic Stochastic Systems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    International Journal of Adaptive Control and Signal Processing

  • ISSN

    0890-6327

  • e-ISSN

  • Volume of the periodical

    27

  • Issue of the periodical within the volume

    11

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    17

  • Pages from-to

    957-973

  • UT code for WoS article

    000326031500003

  • EID of the result in the Scopus database