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线性多胞型不确定连续系统故障检测滤波器设计
引用本文:王恒,居鹤华,杨光红.线性多胞型不确定连续系统故障检测滤波器设计[J].自动化学报,2010,36(5):742-750.
作者姓名:王恒  居鹤华  杨光红
作者单位:1.College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing 100124, P.R. China
基金项目:Supported by National Basic Research Program of China (973 Program) (2009CB320604);;the State Key Program of National Natural Science Foundation of China (60534010);;National Natural Science Foundation of China (60975065, 60974043);;2009 Doctoral Scientific Research Foundation, Beijing University of Technology (X0002999200905);;the Funds for Creative Research Groups of China (60821063);;the 111 Project (B08015)
摘    要:The paper studies the problem of fault detection filter design for uncertain linear continuous-time systems. A design procedure dealing with parameter uncertainties is proposed for residual generation, the sensitivity to fault and the robustness against disturbances are both enhanced on residual outputs through satisfying some performance indexes. By the aid of the generalized Kalman-Yakubovich-Popov (GKYP) lemma, the fault sensitivity performance index can be dealt with in the given frequency range directly, which avoids approximations associated with frequency weights of the existing techniques. An iterative algorithm based on linear matrix inequality (LMI) is given to obtain the solutions. A numerical example is given to illustrate the effectiveness of the proposed methods.

关 键 词:Fault  detection    polytopic  uncertainty    Kalman-Yakubovich-Popov  (GKYP)  lemma    linear  matrix  inequality  (LMI)
收稿时间:2009-3-31
修稿时间:2009-8-28

Fault Detection Filter Design for Linear Polytopic Uncertain Continuous-time Systems
WANG Heng JU He-Hua YANG Guang-Hong, .College of Electronic Information , Control Engineering,Beijing University of Technology,Beijing ,P.R.China .Key Laboratory of Integrated Automation for the Process Industry,Ministry of Education,Shenyang ,P.R.China .College of Information Science , Engineering,Northeastern University,P.R.China.Fault Detection Filter Design for Linear Polytopic Uncertain Continuous-time Systems[J].Acta Automatica Sinica,2010,36(5):742-750.
Authors:WANG Heng JU He-Hua YANG Guang-Hong  College of Electronic Information  Control Engineering  Beijing University of Technology  Beijing  PRChina Key Laboratory of Integrated Automation for the Process Industry  Ministry of Education  Shenyang  PRChina College of Information Science  Engineering  Northeastern University  PRChina
Affiliation:1.College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing 100124, P.R. China;2.Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, Shenyang 110004, P.R. China;3.College of Information Science and Engineering, Northeastern University, Shenyang 110004, P.R. China
Abstract:The paper studies the problem of fault detection filter design for uncertain linear continuous-time systems. A design procedure dealing with parameter uncertainties is proposed for residual generation, the sensitivity to fault and the robustness against disturbances are both enhanced on residual outputs through satisfying some performance indexes. By the aid of the generalized Kalman-Yakubovich-Popov (GKYP) lemma, the fault sensitivity performance index can be dealt with in the given frequency range directly, which avoids approximations associated with frequency weights of the existing techniques. An iterative algorithm based on linear matrix inequality (LMI) is given to obtain the solutions. A numerical example is given to illustrate the effectiveness of the proposed methods.
Keywords:Fault detection  polytopic uncertainty  Kalman-Yakubovich-Popov (GKYP) lemma  linear matrix inequality (LMI)
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