MODEL OF MOTION OF UNMANNED AERIAL VEHICLES BASED ON DUAL QUATERNION ALGEBRA

The widespread use of unmanned aerial vehicles during warfare has intensified the problem their management, especially when they are used in large groups. One main tasks is to ensure coordinated movement group's aircraft space. Optimizing each device group three-dimensional space expedient mathematical models. any vehicle can be presented as a combination translational and rotational movements, its speed velocities. Previously, these movements were modeled separately using system differential equations or quaternions. In this article, model an based on algebra dual quaternions developed. Dual consisting eight scalars compact representation rigid transformations Therefore, properties determine advantage course motion simulation, reduce amount calculations. Thus, with help one quaternion, it possible provide both motions at once, operation non-commutative multiplication simulate movement. assumes that real part quaternion determines orientation UAV space, position order connect coordinate systems model, expressions for transition from angles (roll, yaw, pitch) parameters vice versa obtained. functionality proposed was confirmed developed software modeling aircraft. adapted graphical display number web browsers WebGl support. Keywords: modeling; movement; vehicles; quaternions;