一种新的H_∞固定阶控制器综合方法

A NOVEL APPROACH TO FIXEDORDER H∞CONTROLLER PAEAMETRIZATION

提出了只通过一个Ｒｉｃｃａｔｉ方程求解Ｈ∞固定阶控制器的方法．在获得系统与控制器的增广系统后，得到一个和控制器参数有关的假想控制输入，在其特定形式下得到一个全信息控制问题．由于增广系统是奇异的，根据范数约束得到的Ｒｉｃｃａｔｉ方程是和一个常数有关的，从而较为简单的处理了奇异问题．因为假想输入的是扰动和状态变量的反馈形式，故可参数化控制器．最后的结果表明如果参数矩阵满足某些条件。

The design of fixedorder H∞ controller, under the structure of full information, is investigated in this paper. A fictitious input related to controller parameters is introduced to guarantee the problem of full information structure. Because the augmented system is a singular H∞ control problem, we treat this problem via a constant dependent Riccati equation. Under the constraints of H∞ norm, the fictitious input takes the form of feedback of disturbance and state, then we can obtain the existence condition of the controller parameters.