Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2017, Volume 10, Issue 3, Pages 108–119
DOI: https://doi.org/10.14529/mmp170309 (Mi vyuru390) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Programming & Computer Software

Modelling and estimation of a moving object trajectory

I. V. Semushina, A. V. Tsyganovb, Yu. V. Tsyganovaa, A. V. Golubkovb, S. D. Vinokurovb

a Ulyanovsk State University, Ulyanovsk, Russian Federation
b Ulyanovsk State Pedagogical University, Ulyanovsk, Russian Federation
Full-text PDF (750 kB) Citations (5)
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DOI: https://doi.org/10.14529/mmp170309
Abstract: A new linear discrete model of the left/right circular motion with the specified radius is constructed. A new algorithm for mathematical modelling of a moving object trajectory consisting of straight line segments and circular motion under the conditions of incomplete noisy measurements is formulated and implemented. It is shown how to apply algorithms for discrete optimal filtering to the evaluation of such a trajectory. A software package “Modelling and estimation of a moving object trajectory v1.0” is developed for modelling and estimation of a linear trajectory of a moving object on the basis of discrete models of uniform piecewise linear and circular motion. The results can be applied to solve practical problems of navigation, robotics, signal processing of scanning range finders and others.
Keywords: maneuvering moving objects; discrete stochastic model; linear estimation; MATLAB.
Funding agency Grant number
Russian Foundation for Basic Research 16-41-730784
Received: 03.10.2016
Bibliographic databases:
Document Type: Article
UDC: 004.942
MSC: 93A30, 93E10
Language: Russian
Citation: I. V. Semushin, A. V. Tsyganov, Yu. V. Tsyganova, A. V. Golubkov, S. D. Vinokurov, “Modelling and estimation of a moving object trajectory”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:3 (2017), 108–119
Citation in format AMSBIB
\Bibitem{SemTsyTsy17}
\by I.~V.~Semushin, A.~V.~Tsyganov, Yu.~V.~Tsyganova, A.~V.~Golubkov, S.~D.~Vinokurov
\paper Modelling and estimation of a moving object trajectory
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2017
\vol 10
\issue 3
\pages 108--119
\mathnet{http://mi.mathnet.ru/vyuru390}
\crossref{https://doi.org/10.14529/mmp170309}
\elib{https://elibrary.ru/item.asp?id=29930361}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :70
    References:35
     
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