Abstract: The reduced-order controllers for non-standard H∞ control problems with general infinite zeros are studied in this paper. By analyzing the relation between the structure of eigenspace corresponding to the infinite zeros and the family of H∞ controllers given in descriptor form, this paper proposes a method to choose appropriate free functions in the family of controller for constructing the controllers whose orders are less than the Mcmillan degree of the generalized plant when the plant satisfies certain constraints. The parameterization of the reduced-order controllers is also discussed, and two families of the reduced-order controllers are given.