Skip to main content
Log in

Algorithms for Indicating the Beginning of Accidents Based on the Estimate of the Density Distribution Function of the Noise of Technological Parameters

  • Published:
Automatic Control and Computer Sciences Aims and scope Submit manuscript

Abstract

A technology has been developed, which allows for calculating the probability density function of noise, its maximum and inflection points, using the discrete values of a signal corrupted by an additive random noise. Computational experiments have been conducted. It has been demonstrated that knowledge of those characteristics of noise allows systems of monitoring, control, diagnostics, forecasting, identification, management, etc. to register not only the initial period of fault origin, but also the moment when preventive maintenance measures, routine or major overhaul works are required.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ott, H.W., Noise Reduction Techniques in Electronic Systems, John Wiley & Sons Inc, 1976.

    Google Scholar 

  2. Shiryaev, A.N., Veroyatnostno-statisticheskie metody v teorii prinyatiya reshenii (Probabilistic-Statistical Methods in Decision Theory), Moscow: MCCME, 2011.

    Google Scholar 

  3. Vishnyakov, A.N. and Tsypkin, Ya.Z., Detection of regularity violations by means of observed data in the presence of errors, Autom. Remote Control, 1991, vol. 52, no. 12, pp. 1744–1751.

    MATH  Google Scholar 

  4. Kharkevich, A.A., Bor’ba s pomekhami (Struggle with Noise), Moscow, 1965.

    Google Scholar 

  5. Tikhonov, V.I., Statisticheskaya radiotekhnika (Statistical Radiotechnics), Moscow: Radio i Svyaz’, 1982.

    Google Scholar 

  6. Aliev, T., Digital Noise Monitoring of Defect Origin, London: Springer-Verlag, 2007.

    MATH  Google Scholar 

  7. Aliev, T.A., Guluyev, G.A., Pashayev, F.H., and Sadygov, A.B., Noise monitoring technology for objects in transition to the emergency state, Mech. Syst. Signal Process., 2012, vol. 27, pp. 755–762.

    Article  Google Scholar 

  8. Musaeva, N.F., Robust correlation coefficients as initial data for solving a problem of confluent analysis, Autom. Control Comput. Sci., 2007, no. 2, pp. 76–87.

    Article  Google Scholar 

  9. Aliyev, T.A. and Musaeva, N.F., An algorithm for eliminating microerrors of noise in the solution of statistical dynamics problems, Autom. Remote Control, 1998, vol. 59, no. 5, pp. 679–688.

    MATH  Google Scholar 

  10. Musaeva, N.F., Robust method of estimation with “contaminated” coarse errors, Autom. Control Comput. Sci., 2003, vol. 37, no. 6, pp. 50–63.

    Google Scholar 

  11. Musaeva, N.F., Technology for determining the magnitude of robustness as an estimate of statistical characteristic of noisy signal, Autom. Control Comput. Sci., 2005, vol. 39, no. 5, pp. 53–62.

    Google Scholar 

  12. Dubov, I.R., Formation of direct observations and approximation of probability density for rounding experimental data, Autom. Remote Control, 2000, vol. 61, no. 3, pp. 438–449.

    MathSciNet  MATH  Google Scholar 

  13. Kolnogorov, A.V., On rational control of the mean level of random noise, Autom. Remote Control, 2000, vol. 61, no. 1, pp. 65–74.

    MathSciNet  MATH  Google Scholar 

  14. Burkatovskaya, Yu.B. and Vorobeichikov, S.E., Detection of change-points in a noisy autoregression process, Autom. Remote Control, 2000, vol. 61, no. 3, pp. 425–437.

    MathSciNet  MATH  Google Scholar 

  15. Markov, A.S., Estimation of the autoregression parameter with infinite dispersion of noise, Autom. Remote Control, 2009, vol. 70, no. 1, pp. 92–106.

    Article  MathSciNet  MATH  Google Scholar 

  16. Ventsel, E.S., Teoriya veroyatnosti (Probability Theory), Moscow: Nauka, 1969.

    Google Scholar 

  17. Solodovnikov, V.V., Matveyev, P.S., Valdenberg, Y.S., and Baburin, V., Vychislitel’naya tekhnika v primenenii k statisticheskim issledovaniyam v avtomatike (Computing Technology in Application for Statistical Research and Calculations of Automatic Control Systems), Moscow: Mashinostroenie, 1963.

    Google Scholar 

  18. Korolenko, P.V. and Ryzhikova, Y.V., Modelirovanie i obrabotka stokhasticheskikh signalov i struktur (Modeling and Processing of Random Signals and Structures), Moscow, 2012. https://doi.org/optics.sinp.msu.ru

    Google Scholar 

  19. Abbasov, A.M., Mammadova, M.H., Orujov, G.H., and Aliyev, H.B., Synthesis of the methods of subjective knowledge representations in problems of fuzzy pattern recognition, Mechatronics, 2001, no. 11, pp. 439–449.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. F. Musaeva.

Additional information

Published in Russian in Avtomatika i Vychislitel’naya Tekhnika, 2018, No. 3, pp. 55–69.

The article is published in the original.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Aliev, T.A., Musaeva, N.F. & Suleymanova, M.T. Algorithms for Indicating the Beginning of Accidents Based on the Estimate of the Density Distribution Function of the Noise of Technological Parameters. Aut. Control Comp. Sci. 52, 231–242 (2018). https://doi.org/10.3103/S0146411618030021

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0146411618030021

Keywords

Navigation