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控制理论与应用 2010
H-infinity filtering for network-based systems with stochastic protocols
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Abstract:
The H-infinity filtering is studied for network-based systems with stochastic protocols. The communication process between the sensors and the filter is described as a Markov chain; thus the resulting filtering error system is a Markovian jump system. By using the Lyapunov method and the linear matrix inequality technique, we develop the sufficient conditions for the filtering error system to be stochastically stable and with a prescribed H-infinity performance. An H-infinity filter design procedure is also presented based on the developed conditions. A numerical example is given to show the effectiveness of the proposed method.