H鈭?/sub> filtering for networked systems with partly known distribution transmission delays
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摘要
This paper studies the H鈭?/sub> filtering problem for a class of discrete-time networked systems with partly known distribution transmission delays. It is assumed that the random sensor-filter delay satisfies Markovian characteristics, but the transition probabilities of the delay transferring from one value to others are partly known. A novel measurement model is proposed to reflect the random delay of the transmission modes and the resulting filtering error system is modeled as a Markovian jump system (MJS) with multiple modes and state delay. Sufficient conditions are derived for the filtering error system to be stochastically stable and ensure a prescribed H鈭?/sub> disturbance attenuation level bound by using mode-dependent Lyapunov functional approach. Based on the derived conditions, a design procedure for the H鈭?/sub> filter is also presented. A numerical example is provided to show the design process of the filter and the effectiveness of the proposed method.

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