Reducing Conservatism for Gain-Scheduled H1 Controllers for AMB's

We address the problem of H 1 gain-scheduling of a magnetic bearing/rotor system with the speed of the rotor being the scheduling parameter. The rotor exhibits signiicant gyroscopics. As a result, the plant dynamics change with the rotor speed. Recent results in the theory of LPV systems can be used to design robust, gain-scheduled controllers for such a system. As opposed to traditional gain-scheduling, LPV controllers ooer guarantees of stability and performance over the whole range of the rotor speed. However, these control laws can be overly conservative since they ensure stability for arbitrarily fast variations in the scheduling parameter. In this paper we reene these LPV controllers in order to obtain better bounds on the achievable performance in the presence of a priori known bounds of the variation of the rotor speed.