Multivariable H∞ control for an active magnetic bearing flywheel system

A state-space model with uncertainties for an active magnetic bearing energy storage flywheel system (Fly-UPS) is developed. A multivariable robust H∞ controller for the Fly-UPS is then synthesised. Different weighting schemes are explained and used for H∞ controller synthesis. Furthermore, the additive uncertainties between the nominal simulation model and the physical model at varied rotational speeds are characterised. Stability robustness for additive uncertainties is verified via the gain/phase margin stability robustness criterion. The performance robustness (disturbance attenuation) is analysed by assessing model sensitivity with the ISO/CD 14839-3 sensitivity standard