filtering for discrete-time singular networked systems with communication delays and data missing

Zu-Xin Li, Hong-Ye Su, Yong Gu and Zheng-Guang Wu

International Journal of Systems Science, 2013, vol. 44, issue 4, 604-614

Abstract: In this article, the problem of H∞ filter design is investigated for discrete-time singular networked systems with both multiple stochastic time-varying communication delays and probabilistic missing measurements. Two kinds of stochastic time-varying communication delays, namely stochastic discrete delays and stochastic distributed delays, are simultaneously considered. The purpose of the addressed filtering problem is to design a filter such that, for the admissible random measurement missing and communication delays, the filtering error dynamics is asymptotically stable in the mean square with a prescribed H∞ performance index. In terms of linear matrix inequality (LMI) method, a sufficient condition is established that ensures the asymptotical stability in the mean square with a prescribed H∞ performance index of the filtering error dynamics and then the filter parameters are characterised by the solution to an LMI. A numerical example is introduced to demonstrate the effectiveness of the proposed design procedures.

Date: 2013
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DOI: 10.1080/00207721.2011.617892

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