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

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.

Keywords:

• singular systems
• stochastic communication delays
• packet dropout
• H _∞ filtering
• linear matrix inequality

Acknowledgements

This study is supported by the National Creative Research Groups Science Foundation of China under grant no. 60721062, by the National Natural Science Foundation of P.R. China under grant no. 61174029, by the National High Technology Research and Development Program of China under grant 863 Program 2008AA042902, by the Key Project of Chinese Ministry of Education under grant no. 211067, by the Zhejiang Provincial Natural Science Foundation of China under grant no. Y1110944 and by the Open Project of the State Key Laboratory of Industrial Control Technology under grant no. ICT1002.