This study considers the tactical level of the intelligent geometric control system designed to solve the cutting-edge scientific problem of controlling unmanned aerial vehicles (UAVs) in unstable conditions. Intelligent geometric theory combines geometric control methods (methods of optimal control, complex motion control and stabilization, formation control, trajectory and target tracking, differential pursuit-evasion games, etc.) with intelligent control methods using tools of artificial intelligence (productions, semantic networks, fuzzy logic, frame-based behavioral microprograms, frame-based operations, machine learning, genetic algorithms, methods of knowledge acquisition, etc.) and provides reliable and high-performance control techniques for operating in uncertain environments under wind disturbances. Hierarchical architecture of intelligent geometric control system is designed for joint application of precise geometric and adaptive intelligent control methods as parts of a single robotic system. The solution to the problem of controlling a UAV group taking into account mathematical models of an aircraft and wind loads was simulated in MATLAB system. © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd 2021.