Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.automatica.2005.06.005
Title: An LMI approach to minimum sensitivity analysis with application to fault detection
Authors: Liu, J.
Wang, J.L.
Yang, G.-H. 
Keywords: ℋ - index
Fault detection
Minimum sensitivity
Minimum singular value
Issue Date: Nov-2005
Citation: Liu, J., Wang, J.L., Yang, G.-H. (2005-11). An LMI approach to minimum sensitivity analysis with application to fault detection. Automatica 41 (11) : 1995-2004. ScholarBank@NUS Repository. https://doi.org/10.1016/j.automatica.2005.06.005
Abstract: This paper systematically studies the minimum input sensitivity analysis problem. The lowest level of sensitivity of system outputs to system inputs is defined as an H- index. A full characterization of the H- index is given, first, in terms of matrix equalities and inequalities, and then in terms of linear matrix inequalities (LMIs), as a dual of the Bounded Real Lemma. A related problem of input observability is also studied, with new necessary and sufficient conditions given, which are necessary for a fault detection system to have a nonzero worst-case fault sensitivity. The above results are applied to the problem of fault detection filter analysis, with numerical examples given to show the effectiveness of the proposed approaches. © 2005 Elsevier Ltd. All rights reserved.
Source Title: Automatica
URI: http://scholarbank.nus.edu.sg/handle/10635/111324
ISSN: 00051098
DOI: 10.1016/j.automatica.2005.06.005
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