The article presents an approach to modeling an immersive virtual reality (VR) interaction system that integrates an omnidirectional platform and an upper-body exoskeleton to enhance the realism of user interaction with the virtual environment. Based on system analysis and adaptive system synthesis algorithms, a methodology has been developed and formalized in the form of an IDEF0 diagram, which includes the stages of planning, component formalization, data processing algorithm development, system design, user evaluation, and implementation. A mathematical model of the system is proposed, formalizing the processes of user interaction with the immersive system, which includes motion and physiological sensors, data collection and processing modules, an upper-body exoskeleton, an omnidirectional platform, and a virtual environment. The obtained results serve as a theoretical foundation for the further design of the immersive VR interaction system, as well as the development of key hardware components and software modules.