二阶线性系统全维PI观测器的参数化设计

Parameterization of full-order PI observers for second-order linear systems

基于一类广义Sylvester矩阵方程的解,提出了二阶线性系统的全维PI观测器设计参数化方法,给出了该类观测器的增益矩阵和左特征向量矩阵的参数化表达式.该观测器设计的参数化方法直接基于二阶线性系统的参数矩阵,不涉及系统的变换或增广.数值例子表明了所提方法的简单有效性.

Based on the solutions to a kind of generalized Sylvester equations, a parametric method to design full-order PI observers is proposed. The parametric expressions for the gain matrices and the left eigenvector matrix of the full- order PI observers are presented. The original system data is utilized directly and manipulations are involves only in 2- dimensional matrices. An example shows the effectiveness and simpleness of the proposed method.