SUMMARY
The article is devoted to perfecting one of the perspective methods of take-off and landing without airfield, namely, gas-dynamic method. At first, this method accounts an application unmanned aerial vehicle with the aerodynamic controls. However, at the unmanned aerial vehicle take-off and landing with help of external gas-dynamic devices, exists a problem of its stabilization at small velocity of flight. Authors took out a patent on technical solution of the unmanned aerial vehicle stabilization at the unmanned aerial vehicle take-off and landing with help of external gas-dynamic devices, but there is not numerical proof of proposed solution efficiency. To this effect the mathematical model and calculation algorithm of automatic unmanned aerial vehicle stabilization system during take-off and landing in a gas-dynamic complex are developed. The calculations have proven that by using two gas-dynamic devices of matrix type the fundamental possibility appears of stabilizing unmanned aerial vehicle at its near-zero speeds, while the aerodynamic controls are not effective. The mathematical model of unmanned aerial vehicle motion in an artificial air flow is based on the equations of the longitudinal motion dynamics. The peculiarity of the proposed model is that during the stabilization of the angular motion of the unmanned aerial vehicle uses a partial flow around the unmanned aerial vehicle body additional artificial airflow.