Robust fault detection observer for discrete LTI uncertain systems

This paper addresses the robust fault detection observer design for discrete LTI systems with additive model uncertainties. The observer design is investigated under the H
∞
/H
−
index framework in the finite frequency domain where the generalized KYP lemma is used. The threshold design and the worst undetectable fault size estimation are also considered in this paper. A practical application example is given to illustrate the effectiveness of the algorithm obtained in the paper.