H_∞ fault estimation for a class of linear time-delay systems in finite frequency domain  

作　　者：Quanchao Dong Maiying Zhong Steven X. Ding 

机构地区：[1]School of Control Science and Engineering, Shandong University, Jinan 250061, E R. China [2]School of Instrumentation Science and Opto-electronics Engineering, Beihang University, Beijing 100191, P. R. China [3]Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, Duisburg 47057, Germany

出　　处：《Journal of Systems Engineering and Electronics》2010年第5期835-841,共7页系统工程与电子技术（英文版）

基　　金：supported in part by the National Natural Science Foundation of China (60774071);the National High Technology Research and Development Program of China (863 Program) (2008AA121302);the Major State Basic Research Development Program of China (973 Program) (2009CB724000);the State Scholarship Fund of China

摘　　要：This paper deals with the problem of H∞ fault estimation for linear time-delay systems in finite frequency domain.First a generalized coordinate change is applied to the original system such that in the new coordinates all the time-delay terms are injected by the system＇s input and output.Then an observer-based H∞ fault estimator with input and output injections is proposed for fault estimation with known frequency range.With the aid of Generalized Kalman-Yakubovich-Popov lemma,sufficient conditions on the existence of the H∞ fault estimator are derived and a solution to the observer gain matrices is obtained by solving a set of linear matrix inequalities.Finally,a numerical example is given to illustrate the effectiveness of the proposed method.This paper deals with the problem of H∞ fault estimation for linear time-delay systems in finite frequency domain.First a generalized coordinate change is applied to the original system such that in the new coordinates all the time-delay terms are injected by the system＇s input and output.Then an observer-based H∞ fault estimator with input and output injections is proposed for fault estimation with known frequency range.With the aid of Generalized Kalman-Yakubovich-Popov lemma,sufficient conditions on the existence of the H∞ fault estimator are derived and a solution to the observer gain matrices is obtained by solving a set of linear matrix inequalities.Finally,a numerical example is given to illustrate the effectiveness of the proposed method.

关 键 词：fault estimation TIME-DELAY generalized coordinate change generalized Kalman-Yakubovich-Popov lemma finite frequency domain. 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] V249[自动化与计算机技术—控制科学与工程]