## Network-based robust $$H_{\infty}$$ filtering for the uncertain systems with sensor failures and noise disturbance.(English)Zbl 1264.93051

Summary: The network-based robust $$H_{\infty}$$ filtering for the uncertain system with sensor failures and the noise is considered in this paper. The uncertain system under consideration is also subject to parameter uncertainties and delay varying in an interval. Sufficient conditions are derived for a linear filter such that the filtering error systems are robust globally asymptotically stable while the disturbance rejection attenuation is constrained to a given level by means of the $$H_{\infty}$$ performance index. These conditions are characterized in terms of the feasibility of a set of linear matrix inequalities (LMIs), and then the explicit expression is then given for the desired filter parameters. Two numerical examples are exploited to show the usefulness and effectiveness of the proposed filter design method.

### MSC:

 93B36 $$H^\infty$$-control 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory 93B07 Observability
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### References:

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