Abstract

In this paper, the problem of filtering for networked control systems using delta operator is investigated, which includes limited communication and packet dropout. A network-based model is considered with a Markov stochastic process and the H ∞ filtering error system is constructed by using Lyapunov-Krasovskii functional in delta domain. A sufficient condition for stochastic stability of the filtering error system with an H ∞ performance index is obtained in terms of linear matrix inequalities (LMI). The explicit expression of the desired filter is also derived. A numerical example shows the effectiveness of the proposed method.

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