H/sub /spl infin// DIA control of magnetic suspension systems

This paper deals with the H/sub /spl infin// DlA control system design attenuating initial-state uncertainties and its application to magnetic suspension systems. Here the H/sub /spl infin// 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/sub /spl infin// DIA control problem supplies H/sub /spl infin// controls with good transients and assures H/sub /spl infin// controls of robustness against initial-state uncertainties. We derived a necessary and sufficient condition of the generalized H/sub /spl infin// DlA problem. We apply this H/sub /spl infin// 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.