H control attenuating initial-state uncertainties

Abstract

H A generalized type of control problem, which treats a mixed attenuation of disturbance and initial-state uncertainty for linear time-invariant systems in the H infinite-horizon case, is examined. The mixed attenuation supplys controls H with good transients or assures controls of robustness against initial-state H uncertainty. A necessary and sufficient condition for an control to attain the H mixed attenuation is given. On the basis of this condition, the robustness of controls against initial-state uncertainty is discussed.