Designing control systems for unmanned aerial vehicles (UAV) based on models eliminates uncertainty, ambiguity, and non-computability. In addition, it is an effective way to ensure the creation of UAV with a high safety factor that meets airworthiness standards. This is the aircraft design process adopted by some well-known international companies. It may be worthwhile for companies and science institutes with sufficient resources to implement “Model-Based Systems Engineering” for drones or quadcopters as small complex systems. Model-based development greatly enhances the safety of small complex systems. Simulation in virtual environments is beneficial for exploring the development process and gaining experience for UAV development. This study presents a three-dimensional model of a quadcopter (one of the UAV varieties) in the SolidWorks program. An analysis of the characteristics and dynamics of the flight of the quadcopter was carried out, then, using Matlab, a model of the mechanism of the system and quadcopter engines was created. A model of quadcopter dynamics is presented and its movements are simulated when performing various tasks.