1 Introduction
In this paper Cholesky decomposition has been used to construct the reduced-order model for control. In order to demonstrate the validity of this method, the controlled model and zero power control of a 0.5KWh class flywheel system using magnetic bearing with gyroscopic effect are given. In this paper, the zero power control means not only the zero bias current but also the Kzero control current. Only electromagnetic bearings are used in system and permanent magnetic bearing is not used. When the magnetic bearing is generating control input, the opposite magnetic bearing does not generate any control input. When the rotor keeps it's equilibrium, the magnetic bearings do not use any energy or current at this time. The magnetic bearing system is different from a conventional magnetic bearing system [1].