一类带有时变时滞的Lur′e 型切换系统的故障估计

J4 ›› 2011, Vol. 46 ›› Issue (6): 90-98.

一类带有时变时滞的Lur′e 型切换系统的故障估计

袁帅1, 刘新芝1, 2*

1.山东大学控制科学与工程学院, 山东济南 250061;
2.滑铁卢大学应用数学系, 加拿大滑铁卢 N2L 3G1

收稿日期:2011-01-28 出版日期:2011-06-16 发布日期:2011-12-19
通讯作者: 刘新芝（1956- ），男，教授，博士生导师，研究方向为系统分析，稳定性理论，混合动力系统，脉冲控制等.Email:xzliu@uwaterloo.ca
作者简介:袁帅（1983- ），女，博士研究生，研究方向为混合动力系统，故障诊断. Email: yuanshuai@mail.sdu.edu.cn

On designing H_∞ fault estimator for switched Lur′e
systems with time-varying delay

YUAN Shuai1, LIU Xinzhi1, 2*

1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China;
2. Department of Applied Mathematics, University of Waterloo, Waterloo N2L 3G1, Canada

Received:2011-01-28 Online:2011-06-16 Published:2011-12-19

摘要/Abstract

摘要：

研究了一类带有中立项和时变时滞信号的非线性切换系统的故障估计问题。通过设计基于观测器的切换故障估计器,将故障估计问题转化为H_∞滤波问题。在任意切换信号下,通过选取合适的 Lyapunov-Krasovskii 泛函,推导并证明了由原系统和估计系统组成的增广系统绝对稳定,同时满足给定的H∞性能指标的时滞相关充分条件。进一步利用锥形补方法给出所设计的估计器参数矩阵的解。最后通过算例验证了所提方法的有效性。

关键词: 切换系统;故障估计;时变时滞;H_∞滤波

Abstract:

The problem of fault estimation for a class of switched nonlinear systems with timevarying delay is studied. The nonlinearity satisfies certain sector condition. By employing a switched observer-based fault estimator, the problem is formulated as an H∞ filtering problem. Some delaydependent sufficient conditions are derived to ensure both the absolute stability and a prescribed L₂-gain bound of an augmented system from the original system and a fault estimation error system. Also, the parameter matrices of the fault estimator are obtained based on the cone complementarity algorithm. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

Key words: switched system; fault estimation; time-varying delay; H_∞ filtering

袁帅1, 刘新芝1, 2*. 一类带有时变时滞的Lur′e 型切换系统的故障估计[J]. J4, 2011, 46(6): 90-98.

YUAN Shuai1, LIU Xinzhi1, 2*. On designing H_∞ fault estimator for switched Lur′e
systems with time-varying delay[J]. J4, 2011, 46(6): 90-98.

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