Abstract
A new delay-dependent robust H ∞ filtering design for uncertain linear systems with time-varying delay is investigated. Two kinds of time-varying delays are considered. One is differentiable uniformly bounded with a bounded delay derivative; the other is continuous uniformly bounded. A full-order filter is designed which ensures the asymptotic stability of the filtering error system and a prescribed level of H ∞ performance for all possible parameters which reside in a given polytope. By constructing a new Lyapunov functional which contains a triple integral term, new delay-dependent conditions for the existence of the H ∞ filter are derived which are less conservative than the existing ones. The filter gain can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, two numerical examples are given to show the effectiveness and the advantages of the proposed method.
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This work was supported by the National Science Foundation of China under Grant 60528002, and the Beijing Education Committee Cooperation Building Foundation Project.
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Sun, J., Chen, J., Liu, G.P. et al. Delay-Dependent Robust H ∞ Filter Design for Uncertain Linear Systems with Time-Varying Delay. Circuits Syst Signal Process 28, 763–779 (2009). https://doi.org/10.1007/s00034-009-9120-9
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DOI: https://doi.org/10.1007/s00034-009-9120-9