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Avtomatika i Telemekhanika, 2010, Issue 5, Pages 70–83 (Mi at816)  

This article is cited in 14 scientific papers (total in 14 papers)

Stochastic Systems

Kalman filter-based multialternative method for fault detection and estimation

D. A. Koshaev

"Electropribor" Research Institute, St. Petersburg, Russia
References:
Abstract: Proposed was a computationally efficient multialternative method for detection and estimation of faults additively involved in the right-hand sides of the linear equations of the state and measurement vectors. In distinction to the classical approach using a Kalman filter bank for each fault, the paper suggested an extended Kalman filter estimating a set of possible faults. The a posteriori probabilities and estimates of individual faults were shown to be readily calculable from the estimates and covariance matrices generated by the extended Kalman filter. Efficiency of the method is corroborated by modeling of a navigation complex with two inertial systems.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 28.05.2009
English version:
Automation and Remote Control, 2010, Volume 71, Issue 5, Pages 790–802
DOI: https://doi.org/10.1134/S0005117910050061
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. A. Koshaev, “Kalman filter-based multialternative method for fault detection and estimation”, Avtomat. i Telemekh., 2010, no. 5, 70–83; Autom. Remote Control, 71:5 (2010), 790–802
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/at816
  • https://www.mathnet.ru/eng/at/y2010/i5/p70
  • This publication is cited in the following 14 articles:
    1. G. I. Emel'yantsev, A. P. Stepanov, E. V. Dranitsyna, B. A. Blazhnov, D. V. Volynskii, N. S. Potemina, “State-of-the-Art Satellite Multi-Antenna Systems. Specific Features and Results of GNSS Compass Development”, Gyroscopy Navig., 14:2 (2023), 97  crossref
    2. D. A. Koshaev, “Multiple Model Algorithm for Single-Beacon Navigation of Autonomous Underwater Vehicle without Its A Priori Position. Part 1. Mathematical Formulation”, Gyroscopy Navig., 11:3 (2020), 230  crossref
    3. D. Egea-Roca, G. Seco-Granados, J. A. López-Salcedo, “Comprehensive overview of quickest detection theory and its application to GNSS threat detection”, Gyroscopy Navig., 8:1 (2017), 1  crossref
    4. M. Šimandl, O. Straka, J. Dunik, “Efficient adaptation of design parameters of derivative-free filters”, Autom. Remote Control, 77:2 (2016), 261–276  mathnet  crossref  isi  elib
    5. D. A. Koshaev, “Method of dummy measurements for multiple model estimation of processes in a linear stochastic system”, Autom. Remote Control, 77:6 (2016), 1009–1030  mathnet  crossref  isi  elib  elib
    6. Kucherenko P.A., Sokolov S.V., “Solution of the Problem of Identifying Structures of Discrete Stochastic Objects Based on the Minimum Posterior Error Criterion of Distribution Densities”, Autom. Control Comp. Sci., 50:1 (2016), 28–36  crossref  isi  elib  scopus
    7. D. A. Koshaev, “Redundancy and lack of information in specific problems of GNSS measurement processing”, Gyroscopy Navig., 6:3 (2015), 172  crossref
    8. O. A. Stepanov, A. V. Loparev, I. B. Chelpanov, “Time-and-frequency approach to navigation information processing”, Autom. Remote Control, 75:6 (2014), 1090–1108  mathnet  crossref  isi
    9. P. A. Kucherenko, S. V. Sokolov, S. M. Kovalev, “Solving the problem of structural stochastic identification of nonlinear discrete dynamic multistructural objects”, Aut. Control Comp. Sci., 47:6 (2013), 310  crossref
    10. Akimov P.A., Matasov A.I., “Obrabotka rezultatov stendovykh ispytanii besplatformennykh inertsialnykh navigatsionnykh sistem metodami negladkoi optimizatsii pri nalichii sboev”, Giroskopiya i navigatsiya, 2012, no. 1, 14–26  elib
    11. Vorobev N.V., Remizova O.A., Syrokvashin V.V., Fokin A.L., “Uvelichenie grubosti k parametricheskoi neopredelennosti pri reshenii zadachi filtratsii v robastnykh sistemakh”, Izvestiya Sankt-Peterburgskogo gosudarstvennogo tekhnologicheskogo instituta (tekhnicheskogo universiteta), 2012, no. 14, 93–96  elib
    12. Khrul S.A., Sonkin D.M., “Adaptivnyi algoritm obrabotki potoka navigatsionnykh dannykh na osnove metoda diagnosticheskoi filtratsii”, Izvestiya tomskogo politekhnicheskogo universiteta, 321:5 (2012), 217–222  elib
    13. P. A. Akimov, A. I. Matasov, “Processing the results of SINS bench tests by methods of nonsmooth optimization in the presence of faults”, Gyroscopy Navig., 3:2 (2012), 91  crossref
    14. Pavel A. Akimov, Alexander I. Matasov, “Estimation of Biases in Gyro Drifts by Means of l1-norm Approximation.”, IFAC Proceedings Volumes, 45:13 (2012), 442  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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