- Research Article
- 10.30898/1684-1719.2026.3.4
Mathematical model of a small-scale UAV
- Mar 01, 2026
- Journal of Radio Electronics
- A.a Mironov + 1 more +1
The article presents the first comprehensive mathematical model of a small unmanned aerial vehicle (UAV) developed in domestic practice, designed as an architecturally complete cyber-physical agent for digital simulation of attack scenarios against civilian infrastructure and their countermeasures using man-portable air-defense systems (MANPADS). The model integrates four key aspects of UAV behavior: flight dynamics (physical layer), sensor perception and tactical situation assessment (cognitive layer), offensive payload, and multispectral observability – including radar, acoustic, visual, radiofrequency, and infrared signatures. For the first time within a unified framework, the model incorporates: 1) the ability to define arbitrary observer and radar positions with dynamic line-of-sight (LoS) visibility calculations; 2) AI-based implementations of sensor perception and tactical evaluation functions; 3) a closed-loop digital twin architecture with feedback from air-defense systems and dynamic environment model updates. The scientific novelty of this work lies in the proposed original cyber-physical agent architecture, formalized as a state evolution operator that accounts for UAV interactions with complex urban environments–including buildings, electromagnetic interference, GNSS spoofing tactics, and multispectral detection channels. The model enables the generation of realistic UAV trajectories and signature profiles and is intended for use in airspace digital twins, simulation-based training systems, and quantitative assessment tools for air-defense effectiveness.
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