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Parity space-based fault estimation for linear discrete time-varying systems
journal contributionposted on 06.12.2017, 00:00 by Maiying ZhongMaiying Zhong, S Ding, Qing-Long HanQing-Long Han, Q Ding
This note is concerned with the problem of parity space-based fault estimation for linear discrete time-varying systems. The design of parity space-based fault estimator is formulated as to find a minimum for a matrix quadratic form. It is shown that the minimum provides a unified solution to the fault estimation problem with different design criteria, such as the performance indices of maximum singular value and Frobenius-norm. A necessary and sufficient condition for the minimum is derived and an analytic solution to the parity space-based fault estimator is obtained. Numerical examples are given to show the effectiveness of the proposed method.