摄动矩阵的分解

Decomposition of the perturbation matrices

参数不确定系统鲁棒控制的设计均基于摄动矩阵的分解。本文给出一种系统性的清晰的分解方法,将摄动矩阵分解为三个矩阵,分别描述矩阵中的不确定元素及其所在的行位置和列位置。分解的步骤与行的顺序一致,最后用一个例子来说明这种分解思想。

The robust control design for systems with parameter uncertainties is based on the decomposition of the perturbation matrices. A systematic and clear approach to decomposition is presented in this paper. The perturbation matrices are decomposed into three matrices to describe the uncertain entries, their positions in the row and in the column respectively. The steps of decomposition coincide with the sequence of row. An example is given to illustrate the decomposition idea.