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Non-fragile $$H_\infty$$ filter design for linear continuous-time systems. (English) Zbl 1152.93365
Summary: This paper studies the problem of non-fragile $$H_\infty$$ filter design for linear continuous-time systems. The filter to be designed is assumed to include additive gain variations, which result from filter implementations. A notion of structured vertex separator is proposed to approach the problem, and exploited to develop sufficient conditions for the non-fragile $$H_\infty$$ 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 $$H_\infty$$ performance of the system from the exogenous signals to the estimation errors below a prescribed level. A numerical example is given to illustrate the effect of the proposed method.

##### MSC:
 93B36 $$H^\infty$$-control 93C05 Linear systems in control theory 93D20 Asymptotic stability in control theory
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