现代控制理论中线性变换矩阵的构造方法

The techniques in building linear transformation matrix in the modern control theory

现代控制理论是利用状态空间法,对系统进行分析和综合。而利用状态空间法对系统进行分析和综合时,经常用到状态空间的基底变换,如对系统的系数矩阵的对角化,约当规范化,把系统化为能控标准型和能观标准型;对系统进行能控性分解和能观性分解。其中非奇异线性变换矩阵的构造是一个难点。

Modem control theory applies state-space method to analyze and synthesize the system. During the period,fundus transformation of the state-space is often used. These ways contain the diagonalization of coefficient matrix in the system; the approximate standardization; transforming the system into controllable and visible standard type：decomposing the system to the controllable and visible type. Amongst, building nonsingular linear transformation is a difficult point.