U Synthesis of Flexible Rotor - Magnetic Bearing Systems

AbstructThe p synthesis design method was evaluated for a flexible rotor magnetic bearing system with a five-axis-control system using both simulations and experiments. After modeling the full-order system using the finite element method, we obtained a reduced-order model in the modal domain by truncating the flexible modes. After choosing appropriate weighting functions with respect to frequency, we designed the p-synthesis control system using the Lr-toolbox in MATLAB. We then carried out simulations of the control system for a flexible rotor magnetic bearing system with a five-axis-control system and obtained good performance. Next, we conducted experiments to verify the robustness of the controllers on a test rig during initial levitation. The controllers provided robust stability and performance over a wide range of parameter variations in the test rig.