Technical communique: Robust fault detection of uncertain linear systems via quasi-LMIs

Authors:
Alessandro Casavola;Domenico Famularo;Giuseppe Franzè
Affiliations:
Universití degli Studi della Calabria, Via Pietro Bucci, Cubo 42C, Rende (CS), 87036, Italy;Universití degli Studi Mediterranea di Reggio Calabria, Via Graziella, Loc. Feo di Vito, Reggio Calabria (RC) 89100, Italy;Universití degli Studi della Calabria, Via Pietro Bucci, Cubo 42C, Rende (CS), 87036, Italy
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

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.