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