This paper deals with the H∞ DlA control system design attenuating initial-state uncertainties and its application to magnetic suspension systems. Here the H∞ DlA control means a mixed disturbance and an initial state uncertainty attenuation (DlA) control for linear time-invariant systems in the infinite-horizon case. The H∞ DIA control problem supplies H∞ controls with good transients and assures H∞ controls of robustness against initial-state uncertainties. We derived a necessary and sufficient condition of the generalized H∞ DlA problem. We apply this H∞ DIA approach to magnetic suspension systems, and evaluate a mixed attenuation property of the proposed approach via experiments. We investigate a role of the weighting matrix N for the initial state uncertainty in the control system design.
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