Abstract
The H∞ control theory, which is the most powerful method for robust control theory to date, is applied to the flexible rotor-magnetic bearing system. However, the H∞ control system has some disadvantages in that it is a conservative system and can not be used to treat with robust performances. This is due to its maximum singular value. Doyle proposed a structured singular value instead of maximum singular value. This is called the μ synthesis theory which treats robust performances using D-K iteration. This paper concerned with the μ control of a flexible rotor-magnetic bearing system (FR-MBS). Plant dynamics, consisting of actuator dynamics and flexible rotor dynamics, are described. The μ controller for the reduced-order model is designed by D-K iteration, and its robust performances are evaluated with several experiments. The relationships between μ control, H∞ control and their robust performances are discussed for the flexible rotor-magnetic bearing system.
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