Abstract

SUMMARYThis paper investigates the design of robust‡ fault detection and isolation filters for linear parameter‐varying systems modeled in a linear fractional representation fashion. The goal is to obtain structured fault detection filters with enhanced fault transmission H− gain and large H∞ nuisance attenuation. It is shown by means of the scaling matrices technique and the projection lemma that the synthesis of the residual structuring and the filter state‐space matrices can be performed simultaneously using linear matrix inequality optimization techniques. Computational aspects are discussed and it is shown that the proposed solution is structurally well defined. Closed‐loop time simulations demonstrate the efficiency of the proposed method. Copyright © 2011 John Wiley & Sons, Ltd.

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