Non-fragile H∞ Filter Design with Additive Gain Variations

This paper studies the problem of non-fragile H_∞ filter design for linear continuous-time systems. The filter to be designed is assumed to be with additive gain variations, which are due to the finite word length (FWL) effects when the filter is implemented. A notion of structured vertex separator is proposed to approach the problem, and exploited to develop sufficient conditions for the non-fragile filter design in terms of solutions to a set of linear matrix inequalities (LMIs). The designs guarantee the asymptotic stability of the estimation errors, and the H_∞ performance of the system from the exogenous signals to the estimation errors less than a prescribed level. A numerical example is given to illustrate the effect of the proposed method