Influence of errors on the accuracy of the spatial monitoring results under redundant information

Authors

  • Юрій Владленович Кулявець Kharkiv National University of Construction and Architecture Ukraine, Kharkiv, 40 Sumskay vul., Ukraine
  • Олег Ігоревич Богатов Kharkiv National Automobile and Highway University 25 Petrovskogo str., Kharkiv, Ukraine, 61002, Ukraine
  • Олена Анатоліївна Єрмакова Kharkiv National Automobile and Highway University 25 Petrovskogo str., Kharkiv, Ukraine, 61002, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2015.44235

Keywords:

information integration, parameter measurement, independent measuring devices, estimate filtering, weight matrix

Abstract

The presence of information redundancy allows to obtain an overall estimate by various relatively simple measuring devices using minimally sufficient set of fundamental measurements. Herewith, estimated parameters tend to be related to the measured initial estimates of nonlinear functional relationships. Therefore, direct use of the maximum likelihood method leads to the necessity of solving systems of nonlinear equations. Applying the linearization method of nonlinear functional relationships allows to obtain optimal (in this case maximum likely) estimates of the final parameter and the correlation matrix of estimation errors in an explicit form. Herewith, solving the problem of optimal use of estimates of the same state vector obtained by different methods simultaneously, is reduced to a consistent application of the estimate filtering algorithm. However, the weight matrix, included in the expression for determining the overall estimate depends on the values of the measured parameter and is not always known a priori. Based on this, without dwelling on the possible ways of obtaining the weight matrix, the analysis of the influence of its determination accuracy on the overall estimate accuracy was performed. It is shown that the elements of the correlation error matrix of the overall parameter estimate depend not only on the accuracy of the initial estimates, obtained from different measuring devices simultaneously, but also on the estimation accuracy of the weight matrix, methods of its determination and the closure error of initial parameter estimates.

Author Biographies

Юрій Владленович Кулявець, Kharkiv National University of Construction and Architecture Ukraine, Kharkiv, 40 Sumskay vul.

PhD, Senior Lecturer

Department of Life Safety & Environmental Engineering

Олег Ігоревич Богатов, Kharkiv National Automobile and Highway University 25 Petrovskogo str., Kharkiv, Ukraine, 61002

PhD, Senior Lecturer

Department of Metrology and Life Safety

Олена Анатоліївна Єрмакова, Kharkiv National Automobile and Highway University 25 Petrovskogo str., Kharkiv, Ukraine, 61002

PhD, Senior Lecturer

Department of Engineering and Computer Graphics

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Published

2015-06-23

How to Cite

Кулявець, Ю. В., Богатов, О. І., & Єрмакова, О. А. (2015). Influence of errors on the accuracy of the spatial monitoring results under redundant information. Eastern-European Journal of Enterprise Technologies, 3(9(75), 8–13. https://doi.org/10.15587/1729-4061.2015.44235

Issue

Vol. 3 No. 9(75) (2015): Information and controlling system

Section

Information and controlling system

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Copyright (c) 2015 Юрій Владленович Кулявець, Олег Ігоревич Богатов, Олена Анатоліївна Єрмакова

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