Analysis of robustness of active magnetic bearing system is carried out in the paper. All of the most important acceptable levels of robustness are established. Rigid body model of a rotor is used for controller design, stability and analysis of robustness. Advanced tools for robust control are applied. The μ-synthesis is used to design a μ robust controller to stabilize the shaft that is supported magnetically. The influence of robust control on the sensitivity of plant with an uncertainty dynamics is shown. The influence of dynamic uncertainty on the robustness level of closed-loop system is considered. Small gain theorem and robustness theorem for an active magnetic bearing are investigated. Finally, the experimental results confirm the analytical investigations of the robust control of vibrations.