非标准H^∞控制问题的降阶控制器

REDUCED-ORDER CONTROLLERS OF NON-STANDARD H~∞ CONTROL PROBLEMS

研究了具有无穷远零点的非标准Ｈ∞控制问题的降阶控制器及无穷远零点所对应的特征空间与Ｈ∞控制器族之间的关系．当广义对象满足一定条件时，可通过选取控制器族中的自由参量函数，构造低于广义对象阶次的降阶Ｈ∞控制器；还讨论了降阶Ｈ∞控制器的参量化问题，从而得到了两个降阶的Ｈ∞控制器族．

The reduced-order controllers for non-standard H∞ control problems with general infinite zeros are studied in this paper. By analyzing the relation between thestructure 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.