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

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.