This paper dews with H∞ DIA control of a magnetic suspension system using μ-synthesis. H∞ DIA control is a H∞ control problem which treats a mixed Disturbance and an Initial-state uncertainty Attenuation (DIA) and supplies H∞ controls with good transients. H∞ DIA controller has a good initial response property, however its robust performance can be improved. We propose a novel control problem which is to find a multi-objective controller to achieve H∞ DIA condition for good initial responses/transient responses and the structured singular value μ condition for robust performance. We apply this proposed approach to a magnetic suspension system, and design a robust controller which has both good transient and robust performance properties. Finally, experimental results show effectiveness of the proposed control system design framework.
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