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Tao LIU,Qijun CHEN,Hao ZHANG,Iko MIYAZAWA.[en_title][J].Control Theory and Technology,2011,9(4):505~512.[Copy]
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TaoLIU,QijunCHEN,HaoZHANG,IkoMIYAZAWA
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(Department of Electronics and Information Engineering, Tongji University;Key Laboratory of Embedded System and Service Computing, Tongji University, Ministry of Education;Department of Machine Control Technology, Kanagawa Industrial Technology Center)
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Received:April 21, 2010Revised:June 01, 2010
基金项目:This work was partly supported by the Program of the International Science and Technology Cooperation (No. 2007DFA10600), the National High Technology Research and Development Program of China (863 Program) (No. 2009AA043001), the National Natural Science Foundation of China (No. 60904015) and ‘Chen Guang’ Project supported by Shanghai Municipal Education Commission and Shanghai Education Development Foundation (No. 09CG17).
Quantized robust H-two filtering for Markovian jump linear systems over networks with nonaccessible mode information
Tao LIU,Qijun CHEN,Hao ZHANG,Iko MIYAZAWA
(Department of Electronics and Information Engineering, Tongji University;Key Laboratory of Embedded System and Service Computing, Tongji University, Ministry of Education;Department of Machine Control Technology, Kanagawa Industrial Technology Center)
Abstract:
This paper is concerned with the problems of H-two filtering for discrete-time Markovian jump linear systems subject to logarithmic quantization. We assume that only the output of the system is available, and therefore the mode information is nonaccessible. In this paper, a mode-independent quantized H-two filter is designed such that filter error system is stochastically stable. To this end, sufficient conditions for the existence of an upper bound of H-two norm are presented in terms of linear matrix inequalities. Considering uncertainty of system matrices, a robust H-two filter is designed. The proposed method is also applicable to cover the case where the transition probability matrix is not exactly known but belongs to a given polytope. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed approach.
Key words:  Markovian jump linear systems  Quantized robust H-two filter  Mode independent  Sector bound approach  Linear matrix inequalities