Open AccessGeometric models of the run method
Author(s) -
А. А. Дубанов
Publication year - 2021
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 - 10.1088/1742-6596/2131/3/032044
Subject(s) - pursuer , plane (geometry) , surface (topology) , rotation (mathematics) , line (geometry) , horizontal plane , basis (linear algebra) , projection (relational algebra) , computer science , line of sight , vertical plane , sight , development (topology) , inclined plane , normal , direction vector , artificial intelligence , algorithm , mathematics , geometry , mathematical analysis , mathematical optimization , physics , optics , aerospace engineering , engineering , telecommunications , quantum mechanics
This article discusses models of the run method in the pursuit problem. The considered models are based on the correction of the direction vector. Let’s assume that the intended direction on a plane is the line of sight between the pursuer and the target. The direction correction consists in the rotation of the velocity vector until it coincides with the line of sight. When constructing trajectories on the surface, a line of sight is built on the horizontal projection plane. After calculating horizontal projections, all points are projected back onto the surface. On the basis of the research carried out proposed a mathematical model, proposed mathematical models of the method of pursuit on a plane and on a surface given in an explicit form. Mathematical models are the development of chase and parallel approach methods. A modification of these methods is that the speed of the pursuer and the target are directed at random. These models can be in demand by developers of autonomous unmanned vehicles equipped with artificial intelligence systems.