A robust deconvolution scheme for fault detection and isolation of uncertain linear systems: an LMI approach

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:
2005

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Abstract

Optimal H"~ deconvolution filter theory is exploited for the design of robust fault detection and isolation (FDI) units for uncertain polytopic linear systems. Such a filter is synthesized under frequency domain conditions which ensure guaranteed levels of disturbance attenuation, residual decoupling and deconvolution performance in prescribed frequency ranges. By means of the Projection Lemma, a quasi-convex formulation of the problem is obtained via LMIs. A FDI logic based on adaptive thresholds is also proposed for reducing the generation of false alarms. The effectiveness of the design technique is illustrated via a numerical example.