many high-speed rotor units operate at supercritical frequencies, which means that undesirable oscillations inevitably occur during acceleration of the rotor to the operating frequency of rotation due to transition through these critical rotational frequencies. In addition, operating frequencies of the order of 100 000 revolutions per minute and more require new design and technological solutions that provide the specified indicators of speed, stability and wear of bearing surfaces. One of the ways to improve bearing units is to combine rolling and air-lubricated foil bearings into a hybrid bearing with active control, which improves the reliability and durability of the unit as a whole due to the separation and duplication of bearing functions in various operating modes. The article presents a general approach to the construction of a mathematical model of a hybrid bearing with active control and its performance.