MODELLING AND ESTIMATION OF A MOVING OBJECT TRAJECTORY

Authors

  • I. V. Semushin Ulyanovsk State University
  • A. V. Tsyganov Ulyanovsk State University
  • Yu. V. Tsyganova Ulyanovsk State University
  • A. V. Golubkov Ulyanovsk State University
  • S. D. Vinokurov Ulyanovsk State University

DOI:

https://doi.org/10.14529/mmp170309

Keywords:

maneuvering moving objects, discrete stochastic model, linear estimation, MATLAB

Abstract

A new linear discrete model of the left/right circular motion with the specied 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 ltering 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 nders and others.

Author Biographies

I. V. Semushin, Ulyanovsk State University

doctor of science (engineering)

A. V. Tsyganov, Ulyanovsk State University

candidate of science (physico-mathematical)

Yu. V. Tsyganova, Ulyanovsk State University

candidate of science (physico-mathematical)

A. V. Golubkov, Ulyanovsk State University

Master’s Degree student

S. D. Vinokurov, Ulyanovsk State University

postgraduate student

References

Grewal M.S., Andrews A.P. Kalman Filtering: Theory and Practice. New Jersey, Prentice

Hall, 2001.

Maybeck P.S. Stochastic Models, Estimation and Control. N.Y., San Francisco, London,

Academic Press, 1979.

Semushin I.V., Krolivetskaya Yu.M., Petrova E.S. Kalman Filter Oriented Mathematical

Model of the Steady-Circle Path. Automation of Control Processes, 2013, no. 4 (34), pp. 14-20. (in Russian)

Semushin I.V., Tsyganova Yu.V., Zakharov K.V. Robust Filter Algorithms - Survey and New Results for Ship Navigation. Information Technology and Computing Systems, 2013, no. 4,

pp. 90-112. (in Russian)

Semushin I.V. Computational Methods of Algebra and Estimation. Ulyanovsk, UlSTU Publishers, 2011.

Bierman G.J. Factorization Methods For Discrete Sequential Estimation. N.Y., Academic Press, 1977.

Published

2017-09-22

Issue

Section

Programming