Journal of Systems Engineering and Electronics ›› 2010, Vol. 21 ›› Issue (5): 835-841.doi: 10.3969/j.issn.1004-4132.2010.05.018

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

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

Quanchao Dong1, Maiying Zhong2, *, and Steven X. Ding3   

  1. 1. School of Control Science and Engineering, Shandong University, Jinan 250061, P. 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
  • Online:2010-10-11 Published:2010-01-03


This paper deals with the problem of Hfault 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 Hfault 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 Hfault 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.