Non-fragile H∞ filtering for fuzzy discrete-time systems

This paper considers the problem of non-fragile H
∞
filtering for fuzzy discrete-time systems with the consideration of the additive gain variations, which reflect the FWL effects in filter implementation. The introduction of the fuzzy property results in a more complex numerical computation problem. A notion of structured vertex separator is employed to approach the problem, and exploited to develop sufficient conditions for the non-fragile H
∞
filter design in terms of solutions to a set of linear matrix inequalities (LMIs). The designs renders the augmented system asymptotically stable and guarantees the H
∞
attenuation level less than a prescribed level. A numerical example is given to illustrate the effect of the proposed method.