Krein Space-based H∞ Fault Estimation for Linear Discrete Time-varying Systems  

作　　者：ZHONG Mai-Ying LIU Shuai ZHAO Hui-Hong 

机构地区：[1]School of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China

出　　处：《自动化学报》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）, and Shandong Scientific and Research Grant.（2005BS01007.）

摘　　要：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。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.

关 键 词：克莱因空间 故障估计 线性离散 时变系统 自动化技术 

分 类 号：V249[航空宇航科学与技术—飞行器设计] O231[理学—运筹学与控制论]