Mathematical Modelling of the Unmanned Aerial Vehicle Dynamics

Abstract

The article gives a classification of the main components of unmanned aerial vehicle (UAV) systems, gives the areas in which the application of UAVs is actual in practice today. Further, the UAV is considered in more detail from the point of view of its flight dynamics analysis, the equation necessary for creating a mathematical model, as well as the model of an ordinary dynamic system as a non-stationary nonlinear controlled object, is given. Next, a description of the developed software for modeling and a description of program algorithm are given. Finally, a conclusion describes the necessary directions for further scientific researches.

Verification of Selected Model Coefficients for a Small Unmanned Aircraft

“…In general, the aircraft has 6 DoF with non-linear behavior. The aircraft can thus be modelled by nonlinear connected differential equations, considering the forces and moments acting on the UAV [7], [8]. The principle of flight simulation is a mathematical description using a nonlinear equation of motion.…”

The study of flight machine functions, modes dependencies and mathematical modeling of onboard control systems data flows

“…Изменение углов тангажа и крена может происходить на основе крутящего момента, создаваемого роторами на осях X или Y рамы корпуса. В данном моделировании было достаточно просто управлять параметрами управления Kp и Kd (P и D управление), так какKi использовался для уменьшения конечной ошибки системы и, следовательно, не нужен Состояние систем, для которых известны начальные состояния и входные воздействия известны, может быть описано следующим уравнением [5]:…”