H∞ fault estimation for a class of linear time-delay systems in finite frequency domain |
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Authors: | Quanchao Dong Maiying Zhong and Steven X Ding |
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Institution: | 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 |
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Abstract: | 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. |
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Keywords: | fault estimation time-delay generalized coordinate change generalized Kalman-Yakubovich-Popov lemma finite frequency domain |
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