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线性系统的降维状态观测器参数化设计方法
引用本文:张博,王国胜,常天庆,张涛.线性系统的降维状态观测器参数化设计方法[J].装甲兵工程学院学报,2011,25(2):60-63.
作者姓名:张博  王国胜  常天庆  张涛
作者单位:1. 装甲兵工程学院控制工程系,北京,100072
2. 装甲兵工程学院教练团,北京,100072
摘    要:在线性系统可观测的情况下,研究了降维状态观测器设计问题。通过非奇异线性变换,得到代数等价系统的同时分离出需观测的部分状态。基于Sylvester矩阵方程的参数化解,给出降维观测器的增益矩阵的参数化表达形式,从而给出了线性系统的降维状态观测器设计的一种参数化方法。数值算例表明:所提降维状态观测器的参数化设计方法是简单有效的。

关 键 词:线性系统  降维状态观测器  参数化

A Parametric Design Method of Reduced-order State Observer in Linear Systems
ZHANG Bo,WANG Guo-sheng,CHANG Tian-qing,ZHANG Tao.A Parametric Design Method of Reduced-order State Observer in Linear Systems[J].Journal of Armored Force Engineering Institute,2011,25(2):60-63.
Authors:ZHANG Bo  WANG Guo-sheng  CHANG Tian-qing  ZHANG Tao
Institution:ZHANG Bo1,WANG Guo-sheng1,CHANG Tian-qing1,ZHANG Tao2(1.Department of Control Engineering,Academy of Armored Force Engineering,Beijing 100072,China,2.Coach Group,China)
Abstract:On the case of observability of linear systems,the design problem of reduced-order state observers is studied.By using some non-singular linear transformation to the linear system,the corresponding algebraic equivalent system is obtained and a part of states needed to be observered are isolated.Based on the parametric solutions of a Sylvester matrix equation,a parametric expression for the gain matrix of reduced-order state observers are presented,and a parametric design method of reduced-order state observ...
Keywords:linear system  reduced-order state observers  parametrization  
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