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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2019, Volume 12, Issue 1, Pages 156–162 (Mi vyuru481)  

Short Notes

Adaptive estimation of a moving object trajectory using sequential hypothesis testing

A. V. Tsyganova, Yu. V. Tsyganovab, A. V. Golubkova, I. O. Petrishcheva

a Ulyanovsk State Pedagogical University named after I.N. Ulyanov, Ulyanovsk, Russian Federation
b Ulyanovsk State University, Ulyanovsk, Russian Federation

Abstract: The present paper addresses the problem of adaptive estimation of a moving object trajectory and detection of changes in the motion mode. It is supposed that an object moves along a complex trajectory and at known discrete-time instants it may change its motion to one of three possible modes: a uniform straight line motion or a uniform anticlockwise/clockwise circular motion. We propose a new algorithm for adaptive trajectory estimation that combines a hybrid linear stochastic model of an object trajectory with a bank of competitive Kalman filters and a decision rule based on a sequential hypothesis testing. A detailed description of the decision rule and pseudocode of the proposed algorithm are given. The software implementation of the algorithm is made in Matlab. A numerical example of adaptive estimation of the motion of an object along a complex trajectory consisting of nine different pieces is considered. We have conducted computational experiments with different levels of noise in the measurements. The results confirm the effectiveness of the proposed algorithm.

Keywords: adaptive estimation, moving object, sequential hypothesis testing.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-41-730784__
18-37-00220__
This work was supported by the Russian Foundation for Basic Research (grants 16-41-730784, 18-37-00220).


DOI: https://doi.org/10.14529/mmp190115

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UDC: 004.942
MSC: 93A30, 93E10
Received: 24.09.2018
Language:

Citation: A. V. Tsyganov, Yu. V. Tsyganova, A. V. Golubkov, I. O. Petrishchev, “Adaptive estimation of a moving object trajectory using sequential hypothesis testing”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:1 (2019), 156–162

Citation in format AMSBIB
\Bibitem{TsiTsyGol19}
\by A.~V.~Tsyganov, Yu.~V.~Tsyganova, A.~V.~Golubkov, I.~O.~Petrishchev
\paper Adaptive estimation of a moving object trajectory using sequential hypothesis testing
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2019
\vol 12
\issue 1
\pages 156--162
\mathnet{http://mi.mathnet.ru/vyuru481}
\crossref{https://doi.org/10.14529/mmp190115}
\elib{http://elibrary.ru/item.asp?id=37092216}


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