An approach for robust FDI in linear systems with polytopic type uncertainty

This contribution presents a novel approach for robust fault detection and isolation in continuous-time and discrete-time linear systems based-on modified H2/H∞ performance conditions, which are described as LMIs. In order to synthesize the residual signals, some theoretical results for systems with perturbation signals and subjected to parametric uncertainty are shown. The uncertainty parameters are supposed to belong to a polytope. The extended H2/H∞ conditions for continuous-time and discrete-time systems are obtained by means of the well known projection lemma. Fault detection and isolation are done by Luenberger's observer-based multifiltering and one filter is obtained for each fault. Performance of the proposed synthesis technique is illustrated by numerical example.