基于线性矩阵不等式的奇异H_∞控制问题的降阶控制器

A Linear--Matrix--Inequality Based Design Method of Reduced-Order Controllers for Singular H∞ Control Problems

本文基于线性矩阵不等式方法研究了广义对象既具有无穷远零点又具有有限虚轴零点的奇异Ｈ∞问题的降阶控制器设计问题．对于所述广义对象，本文指出：若Ｈ∞控制问题可解，则它必存在降阶控制器．并给出了可行的降阶控制器设计方法．

This paper considers reduced-order controllers for singular H∞ control problem in which the generalized plant not only has infinite zeros,but also has finite zeros on imaginary axis.We obtain the following important result via the method of linear matrix inequality:If the singular H∞ problem considered is solvable,then there must exist reduced order controllers.The result generalizes the previous results about reduced order controller for singular H∞ problems. Finally we give feasible and explicit design steps for constructing the reduced-order controller