-
摘要: 研究一类受L2范数有界未知输入影响的线性离散时变系统H∞故障估计问题. 首先将系统H∞故障估计归结为二次型最小化问题, 然后引入相应的Krein空间系统, 应用Krein空间Kalman滤波理论, 推导并证明H∞故障估计问题可解的充要条件, 给出基于矩阵Riccati方程的H∞故障估计器设计, 为故障估计问题提供新的理论方法, 并通过算例验证本文提出方法的有效性.
-
关键词:
- 故障估计 /
- 线性离散时变系统 /
- Krein空间 /
- Kalman滤波 /
- 矩阵Riccati方程
Abstract: This paper deals with the problem of H∞ 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.-
Key words:
- H∞ fault estimation /
- Krein space /
- Kalman filtering /
- matrix Riccati equation /
点击查看大图
计量
- 文章访问数: 2295
- HTML全文浏览量: 32
- PDF下载量: 1441
- 被引次数: 0