一类线性离散时变系统的H∞故障估计  

The H_∞ fault estimation for linear discrete time-varying systems

作　　者：刘佃瑞[1] 赵辉宏[2] 钟麦英[2] 

机构地区：[1]山东交通学院汽车工程系,山东济南250023 [2]山东大学控制科学与工程学院,山东济南250061

出　　处：《山东大学学报（工学版）》2008年第4期11-16,共6页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金资助项目(60774071);教育部博士点基金资助项目(20050422036);山东省博士基金资助项目(2005BS01007)

摘　　要：讨论了一类受l2范数有界扰动影响的线性离散时变系统H∞故障估计问题.首先将H∞故障估计问题转化为二次型问题,引入相应的Krein空间系统,然后应用Krein空间白噪声估计理论,得到了问题可解的充要条件,并通过矩阵Riccati方程设计H∞故障估计器.算例验证了所提出方法的有效性.The problem of H∞ fault estimation for a class of linear discrete time-varying systems with 12-norm-bounded disturbance was discussed. First, the problem of H∞ fault estimation was reformulated as the problem of a scalar quadratic form. Then, a corresponding system in Krein space was introduced. By applying white noise estimation theory in Krein space, a sufficient and necessary condition on the existence of an H∞ fault estimator was derived, and a solution was obtained in terms of matrix Riccati equation. A numerical example was, given to demonstrate the efficiency of the proposed method.

关 键 词：H∞故障估计 线性离散时变系统 KREIN空间 白噪声估计 矩阵Riccati方程 

分 类 号：TP206.3[自动化与计算机技术—检测技术与自动化装置]