Robust Stabilization of a Magnetic Suspension System Using H^∞ Control Theory

Abstract

This paper presents the robust control design of a magnetic suspension system for a flexible beam which is a simplified model of an elastic rotor in a magnetic bearing system. To stabilize this magnetic suspension system which is unstable in nature, the H^∞ control theory is applied for a design of the control system.
To apply the H^∞ control theory, a state-space model of an augmented plant with frequency weighting functions is constructed. This augmented plant has two inputs which are the exogenous inputs and the control inputs, and two outputs which are the sensor outputs and the regulated outputs. Here we consider the mixed sensitivity problem. The H^∞ controller is implemented by a digital controller which is able to execute the computations very quickly.
For the evaluation of the control performance, several experiments are made. The robustness of the closed loop system is confirmed by the experimental results. The result of this study is useful for the control design of a magnetic bearing system.