Quantized robust H-two filtering for Markovian jump linear systems over networks with nonaccessible mode information |
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Authors: | Tao LIU Qijun CHEN Hao ZHANG and Iko MIYAZAWA |
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Affiliation: | 1. Department of Electronics and Information Engineering, Tongji University, Shanghai 201804, China;Key Laboratory of Embedded System and Service Computing, Tongji University, Ministry of Education, Shanghai 201804, China 2. Department of Machine Control Technology, Kanagawa Industrial Technology Center, Kanagawa 243-0435, Japan |
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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. |
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Keywords: | Markovian jump linear systems Quantized robust H-two filter Mode independent Sector bound approach Linear matrix inequalities |
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