摘要
This paper deals with the problem of Hoo fault estimation for a class of linear discrete time-varying systems with L2-norm bounded unknown input.The main contribution is the development of a new Krein space-based approach to H∞fault estimation.The problem of H∞fault estimation is firstly equated to the minimum of a scalar quadratic form.Then,by introducing a corresponding system in Krein space,a sufficient and necessary condition on the existence of an H∞fault estimator is derived and a solution to its parameter matrices is obtained in terms of matrix Riccati equation.Finally,two numerical examples are given to demonstrate the efficiency of the proposed method.
这份报纸处理H差错评价的问题因为有L2标准的线性分离变化时间的系统的一个类围住未知输入。主要贡献是H差错评价的一条新Krein基于空间的途径的发展。H差错评价的问题第一被等同到一种分级的二次的形式的最小。由在Krein空格介绍一个相应系统,然后,一个H差错评估者的存在上的一个足够、必要的条件被导出,它的参数矩阵的一个答案以矩阵Riccati方程被获得。最后,二个数字例子被给表明建议方法的效率。
出处
《自动化学报》
EI
CSCD
北大核心
2008年第12期1529-1533,共5页
Acta Automatica Sinica
基金
Supported by National Natural Science Foundation of China(60774071)
the Doctoral Program Foundation of Education Ministry of China(20050422036)
Shandong Scientific and Research Grant.(2005BS01007.)