Application of the proportional navigation method in solving problems of navigation
The development of methods and algorithms for ship control when maneuvering relative to a moving object and the creation of automated control systems based on these developments is an urgent task of navigation. The most optimal way to implement control of a moving object relative to another moving object is based on using the proportional navigation method. As applied to navigation problems, this method has been studied at the level of describing the kinematics of the movement of two points. The mathematical model provides for a preliminary calculation of the extrapolated ship coordinates. The construction of ship motion trajectories for any given proportionality factor is carried out taking into account the dynamics of the ship and makes it possible to obtain the law of rudder shift, as well as to predict changes in the process of maneuvering such ship parameters as angular velocity and drift angle. The proposed mathematical model can be used for algorithmic and software support for automated ship control systems when maneuvering relative to a moving object.
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Format: | Journal Contribution biblioteca |
Language: | Russian |
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2022-12-22
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Subjects: | Proportional navigation, Пропорциональная навигация, ASFA_2015::N::Navigation, ASFA_2015::N::Navigation regulations, ASFA_2015::N::Navigational regulations, ASFA_2015::M::Mathematical models, |
Online Access: | http://hdl.handle.net/1834/42580 |
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dig-aquadocs-1834-425802023-04-11T02:27:43Z Application of the proportional navigation method in solving problems of navigation Применение метода пропорциональной навигации при решении задач судовождения Solovyov, A. A. Shugay, S. N. Proportional navigation Пропорциональная навигация ASFA_2015::N::Navigation ASFA_2015::N::Navigation regulations ASFA_2015::N::Navigational regulations ASFA_2015::M::Mathematical models The development of methods and algorithms for ship control when maneuvering relative to a moving object and the creation of automated control systems based on these developments is an urgent task of navigation. The most optimal way to implement control of a moving object relative to another moving object is based on using the proportional navigation method. As applied to navigation problems, this method has been studied at the level of describing the kinematics of the movement of two points. The mathematical model provides for a preliminary calculation of the extrapolated ship coordinates. The construction of ship motion trajectories for any given proportionality factor is carried out taking into account the dynamics of the ship and makes it possible to obtain the law of rudder shift, as well as to predict changes in the process of maneuvering such ship parameters as angular velocity and drift angle. The proposed mathematical model can be used for algorithmic and software support for automated ship control systems when maneuvering relative to a moving object. Разработка методов и алгоритмов управления судном при маневрировании относительно подвижного объекта и создание на основе этих разработок автоматизированных систем управления являются актуальными задачами судовождения. Наиболее оптимальный способ реализации управления подвижным объектом относительно другого подвижного объекта основан на применении метода пропорциональной навигации. Применительно к задачам судовождения этот метод изучен на уровне описания кинематики движения двух точек. Математическая модель предусматривает предварительный расчет экстраполируемых координат судна. Построение траекторий движения судна при любом заданном коэффициенте пропорциональности производится с учетом динамики судна и позволяет получить закон перекладки руля, а также спрогнозировать изменение в процессе маневрирования таких параметров судна, как угловая скорость и угол дрейфа. Предложенная математическая модель может быть использована для алгоритмического и программного обеспечения автоматизированных систем управления судном при маневрировании относительно подвижного объекта. Published Refereed 2023-04-10T12:15:17Z 2023-04-10T12:15:17Z 2022-12-22 Journal Contribution 10.21443/1560-9278-2022-25-4-400-408 http://hdl.handle.net/1834/42580 ru http://vestnik.mstu.edu.ru/show-eng.shtml?art=2158 http://vestnik.mstu.edu.ru/show.shtml?art=2158 Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ pp.400-408 Russia Murmansk Россия Мурманск |
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Proportional navigation Пропорциональная навигация ASFA_2015::N::Navigation ASFA_2015::N::Navigation regulations ASFA_2015::N::Navigational regulations ASFA_2015::M::Mathematical models Proportional navigation Пропорциональная навигация ASFA_2015::N::Navigation ASFA_2015::N::Navigation regulations ASFA_2015::N::Navigational regulations ASFA_2015::M::Mathematical models |
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Proportional navigation Пропорциональная навигация ASFA_2015::N::Navigation ASFA_2015::N::Navigation regulations ASFA_2015::N::Navigational regulations ASFA_2015::M::Mathematical models Proportional navigation Пропорциональная навигация ASFA_2015::N::Navigation ASFA_2015::N::Navigation regulations ASFA_2015::N::Navigational regulations ASFA_2015::M::Mathematical models Solovyov, A. A. Shugay, S. N. Application of the proportional navigation method in solving problems of navigation |
description |
The development of methods and algorithms for ship control when maneuvering relative to a moving object and the creation of automated control systems based on these developments is an urgent task of navigation. The most optimal way to implement control of a moving object relative to another moving object is based on using the proportional navigation method. As applied to navigation problems, this method has been studied at the level of describing the kinematics of the movement of two points. The mathematical model provides for a preliminary calculation of the extrapolated ship coordinates. The construction of ship motion trajectories for any given proportionality factor is carried out taking into account the dynamics of the ship and makes it possible to obtain the law of rudder shift, as well as to predict changes in the process of maneuvering such ship parameters as angular velocity and drift angle. The proposed mathematical model can be used for algorithmic and software support for automated ship control systems when maneuvering relative to a moving object. |
format |
Journal Contribution |
topic_facet |
Proportional navigation Пропорциональная навигация ASFA_2015::N::Navigation ASFA_2015::N::Navigation regulations ASFA_2015::N::Navigational regulations ASFA_2015::M::Mathematical models |
author |
Solovyov, A. A. Shugay, S. N. |
author_facet |
Solovyov, A. A. Shugay, S. N. |
author_sort |
Solovyov, A. A. |
title |
Application of the proportional navigation method in solving problems of navigation |
title_short |
Application of the proportional navigation method in solving problems of navigation |
title_full |
Application of the proportional navigation method in solving problems of navigation |
title_fullStr |
Application of the proportional navigation method in solving problems of navigation |
title_full_unstemmed |
Application of the proportional navigation method in solving problems of navigation |
title_sort |
application of the proportional navigation method in solving problems of navigation |
publishDate |
2022-12-22 |
url |
http://hdl.handle.net/1834/42580 |
work_keys_str_mv |
AT solovyovaa applicationoftheproportionalnavigationmethodinsolvingproblemsofnavigation AT shugaysn applicationoftheproportionalnavigationmethodinsolvingproblemsofnavigation AT solovyovaa primeneniemetodaproporcionalʹnojnavigaciiprirešeniizadačsudovoždeniâ AT shugaysn primeneniemetodaproporcionalʹnojnavigaciiprirešeniizadačsudovoždeniâ |
_version_ |
1762937040881582080 |