A ROBUST DECONVOLUTION LMI PROCEDURE FOR FAULT DETECTION AND ISOLATION OF UNCERTAIN LINEAR SYSTEMS: AN LMI APPROACH

A. Casavola, D. Famularo, G. Franzè
2005 IFAC Proceedings Volumes  
A robust Fault Detection and Isolation (FDI) scheme for uncertain polytopic linear systems based on optimal H ∞ deconvolution filters is discussed. The filter must be capable to satisfy two sets of H ∞ constraints: the first is a disturbance-to-fault decoupling requirement, whereas the second expresses the capability of the filter to track the fault signals in a prescribed frequency range. By means of the Projection Lemma, a quasiconvex formulation of the problem is obtained via LMIs. Finally,
more » ... FDI logic consisting of an adaptive thresholds scheme based on the on-line rms evaluation of relevant system variables is proposed. The effectiveness of the design technique is illustrated via a numerical example.
doi:10.3182/20050703-6-cz-1902.01803 fatcat:mgdrxuacujfrley6ieyfcuzyou