Robust fault detection of uncertain linear systems via quasi-LMIs

A novel H ∞ deconvolution filter design method is discussed for fault detection of uncertain polytopic linear systems subject to unknown inputs. The enhancement of fault sensitivity is characterized in terms of an H - index. By means of the Projection Lemma and Congruence Transformations, a quasi-co...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 44; no. 1; pp. 289 - 295
Main Authors Casavola, Alessandro, Famularo, Domenico, Franzè, Giuseppe
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 2008
Elsevier
Subjects
Applied sciences
Computer science; control theory; systems
Control system analysis
Control system synthesis
Control theory. Systems
Exact sciences and technology
Linear matrix inequalities
Modelling and identification
Polytopic uncertainty
Robust fault detection
Robust fault detection
Linear matrix inequalities
Polytopic uncertainty
Polytope
Congruence
Unknown input
Quasi linear equation
Control synthesis
Deconvolution
Uncertain system
Linear system
Filter
Linear matrix inequality
Defect detection
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Summary:A novel H ∞ deconvolution filter design method is discussed for fault detection of uncertain polytopic linear systems subject to unknown inputs. The enhancement of fault sensitivity is characterized in terms of an H - index. By means of the Projection Lemma and Congruence Transformations, a quasi-convex LMI formulation of the design problem is obtained. The effectiveness of the filter is illustrated via a numerical example.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2007.05.010