TY - JOUR T1 - Development of Mathematical Model of Ground Unmanned Vehicle Movement AU - Artem Anatolyevich, Nikulin AU - Dmitriy Sergeevich, Bychkov AU - Alexandra Alexandrovna, Generalova JO - Journal of Engineering and Applied Sciences VL - 15 IS - 2 SP - 618 EP - 625 PY - 2020 DA - 2001/08/19 SN - 1816-949x DO - jeasci.2020.618.625 UR - https://makhillpublications.co/view-article.php?doi=jeasci.2020.618.625 KW - Unmanned vehicle KW -dubins machine KW -the trajectory KW -the angles of rotation of the wheels KW -optimize for speed KW -asymmetrically AB - The study proposes a mathematical model of the Ground Unmanned Vehicle (GUV) which allows to determine the trajectory in two-dimensional coordinates and orientation angles of the unmanned vehicle. The moment reachability set for a third-order nonlinear controlled system, often called the "Dubins machine" is investigated. The object moves on a plane with a constant linear velocity and asymmetrically specified restrictions on turns to the right and to the left. The statement about the number and nature of control switches leading to the boundary of the reachability set is proved. ER -