Parametric identification of the mathematical model of marine moving object using the apparatus of variational calculus

Sergey Pashentsev^*, Uri Udin^**, Sergey Kholichev^***, Irina Glinskaya^****

^*Cand.Sc. (Physics and Mathematics), professor, “Murmansk State Technical University”, Marine Institute

^**D.Sc., professor, “Murmansk State Technical University”, Marine Institute

^***junior researcher, “Murmansk State Technical University”, Marine Institute, corresponding author, tel: 7908-6077-255, E-mail: holichevsn@mstu.edu.ru

^****associated professor, “Murmansk State Technical University”, Marine Institute

© Copyright 2021 Korea Maritime Institute. This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/4.0/) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published Online: Dec 31, 2015

ABSTRACT

Quantitative discrepancy between the vessel motion parameters (when her pro-pulsion system is used) obtained by means of simulation and those obtained in natural conditions raises the problem of the ship mathematical model efficiency when it is based on the results of model tests in experimental tanks (Hoffman A.D., 1988), in a wind tunnel and in automated control systems. Therefore, the problem of the parametric identification of the vessel mathematical model is very important (Moiseev, 1979), (Udin and Pashentsev, 2006). In this article the authors propose one of the approaches to solving this problem with the help of the mathematical apparatus of the variational calculus.

Keywords: marine mobile unit steering; the mathematical model of the vessel; parametric identification; variation calculus