Abstarct: In this thesis, the design of the controller and stabilization of the magnetic suspension system model using the fuzzy-adaptive control method is discussed. This system is an unstable nonlinear system with parametric uncertainty, whose dynamic equations have been rewritten linearly by linear feedback theory. In the following, for this system, a fuzzy adaptive control method is designed as a reference model, the stability of the system during control is guaranteed according to the Lyapunov theory, and the rules of adaptation are designed baxsed on this and expected to negate the derivative of the Lyapunov function, in order to prove the stability of the entire control law. Done. Non-linear systems such as magnetic suspension systems, in order to be effective during control and operation in different conditions, require a high-level nonlinear controller that provides good performance in the presence of uncertainty, disturbance and large changes in parameters. to give The designed adaptive-fuzzy control can adapt its parameters to the real parameters of the system according to the changes and fluctuations in the parameters, which improves the performance and stability of the system. Fuzzy control, due to the general approximator, simplifies the complex mathematical calculations of the dynamic system model. Therefore, using the fuzzy controller along with the adaptive controller improves the control performance and reduces the computational costs. Simulation results In this thesis, by observing the results obtained from the simulation of this controller, its accuracy and consistency in the presence of disturbances such as disturbances, noise, and changes in the parameters and equilibrium points, which are close or far away from the accuracy of the linear model. It may change, it shows well.