Open AccessThe task of pursuing objects moving on different surfaces
Author(s) -
А. А. Дубанов,
T. V. Ausheev,
D. Semenov
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1260/7/072004
Subject(s) - tangent , plane (geometry) , rotation (mathematics) , task (project management) , tangent space , constant (computer programming) , clarity , orthonormal basis , computer science , visualization , artificial intelligence , computer vision , geometry , mathematics , physics , engineering , biochemistry , chemistry , systems engineering , quantum mechanics , programming language
The purpose of this article is to describe a mathematical model of the pursuit problem in the case when the pursued and pursuing objects move along different surfaces one above the other. Orthonormal dynamic bases, which are determined by the vectors of velocities and normals to the surfaces, are introduced on the surfaces under consideration, at the points where objects are located, and tangent planes are constructed. The coordinates of our model’s opponent are projected onto each specified plane for analysis and decision making. The velocities of the objects in the model are constant in magnitude. The inertness of objects is modeled using the angular velocity of rotation, which is essential in the described model. As a result of research, an iterative algorithm was obtained, which leads to the achievement of a threshold value in the horizontal plane of projections. According to the research results, a dynamic visualization of the pursuit task was made, which gave clarity to the results obtained.