This study examines the issues of modeling thermodynamic parameters and characteristics of small-sized turbojet engines in a monitoring system using artificial intelligence. The possibility of using thermodynamic mathematical models for modeling parameters in small-sized turbojet engine units and synthesizing control and management systems is considered. A review of scientific publications devoted to thermodynamic modeling and monitoring of working processes in turbojet engine units is conducted, the relevance of the problem and ways to implement solutions are formulated. The main working processes of small-sized turbojet engines are considered, theoretical aspects for controlling the parameters of engine structural elements are investigated, a mathematical model for their calculation is created. Based on the research conducted, a thermodynamic parameters monitoring system is designed using JavaScript programming languages, the Node.js platform, and artificial intelligence. The main components of monitoring absolute and relative deviations of thermo-gasodynamic parameters as diagnostic signs of the condition of the main components of a small turbojet engine are proposed, taking into account the integral assessment of mechanical damage. The implementation of monitoring deviations of thermo-gasodynamic parameters will help reduce the likelihood of failures during bench tests and engine operation, justify the need, time and scope of work to restore critical elements