自然科学版 英文版
自然科学版 英文版
自然科学版 英文版

您目前所在的位置:首页 - 期刊简介 - 详细页面

中南大学学报(自然科学版)

Journal of Central South University

第35卷    第4期    总第158期    2004年8月

[PDF全文下载]    [Flash在线阅读]

    

文章编号:1672-7207(2004)04-0628-04
一种基于LMI的H-/H故障检测
观测器优化设计方法
彭 涛1,2,桂卫华1,STEVEN X D3,吴 敏1,李 昊1

(1.中南大学信息科学与工程学院,湖南长沙,410083;
 2.株洲工学院,湖南株洲,412008;
3.Institute for Automatic Control and Complex Systems,University of Duisburg-Essen, Duisburg 47057, Germany
)

摘 要: 针对线性时不变动态系统,构造一个线性全阶输出观测器,获得包括扰动、噪声、建模误差等未知输入信号和故障信号的残差动态特性,选用残差对故障信号的H-指数描述其对故障的灵敏度,用残差对未知信号的H范数表示其对不确定因素的鲁棒性,将故障检测观测器的设计描述为一个优化问题。研究了基于线性矩阵不等式的故障检测观测器设计,给出了求解最优观测器增益的方法,并证明了该解存在的条件。实践结果表明,应用该方法所设计的故障检测观测器灵敏度高,对干扰信号具有强鲁棒性。

 

关键字: 故障检测;观测器;鲁棒性;灵敏度;线性矩阵不等式

An LMI-based H-/H optimal design approach for fault detection observer
PENG Tao1,2,GUI Wei-hua1,STEVEN X D3,WU Min1,LI Hao1

1.College of Information Science and Engineering, Central South University, Changsha410083, China;
2.Zhuzhou Institute of Technology, Zhuzhou412008, China;
3.Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, Duisburg47057, Germany

Abstract:By constructing a linear full-order observer for linear time invariant system, the dynamics of residual generator is acquired which involves unknown inputs represented by disturbances, noise, model uncertainty and faults. The sensitivity fault is described by H-index, and the robustness of residual to unknown input signal is denoted by Hnorm. Therefore the design problem of fault detection observer can be described as an optimization one. After the design of linear matrix inequality-based fault detection observer is studied, the solution of optimal observer gain is given, and the existence condition of its solution is also derived. The designed fault detection observer has high sensitivity to faults and strong robustness to unknown inputs.

 

Key words: fault detection; observer; robustness; sensitivity; linear matrix inequality

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
版权所有:《中南大学学报(自然科学版、英文版)》编辑部
地 址:湖南省长沙市中南大学 邮编: 410083
电 话: 0731-88879765 传真: 0731-88877727
电子邮箱:zngdxb@csu.edu.cn 湘ICP备09001153号