Designing a mathematical model of a magnetic levitation automatic control system

Currently, the effect of electrodynamic magnetic levitation is widely used in magnetic and electrical suspensions. The main problem that arises in these cases is the dynamic instability of levitating bodies, which directly follows from Earnshaw's theorem. Therefore, works related to the development and research of automatic control systems that allow controlling the position of levitating bodies are relevant. This paper deals with the design of mathematical models and their research for a control system based on a PID controller. The toolbox for the analysis and calculation of the optimal control coefficients are specialized software tools (Toolbox) included in MATLAB.