A generalized H/sub /spl infin// control system design attenuating initial state uncertainties

Abstract

This paper deals with a generalized H/sub /spl infin// control attenuating initial-state uncertainties. An H/sub /spl infin// control problem, which treats a mixed attenuation of disturbance and initial-state uncertainty for linear time-invariant systems in the infinite-horizon case, is examined. The mixed attenuation supplies H/sub /spl infin// controls with good transients and assures H/sub /spl infin// controls of robustness against initial-state uncertainty. We derive a necessary and sufficient condition of the generalized mixed attenuation problem. Furthermore we apply this proposed method to a magnetic suspension system, and evaluate attenuation property of the proposed generalized H/sub /spl infin// control approach.