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Distributed multiple model filtering for markov jump systems with communication delays
Institution:1. Naval University of Engineering, Wuhan 430033, China;2. Wuhan Early Warning Academy, Wuhan 430019, China;1. Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150006, China;2. Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong 264209, China;1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China;2. Choon Ki Ahn is with the School of Electrical Engineering, Korea University, Seoul 136–701, Korea;1. Ben-Gurion University of the Negev, Department of Mathematics, Beer-Sheva 84105, Israel;2. Brno University of Technology, Faculty of Electrical Engineering and Communication, Technická 3058/10, Brno, 61600, Czech Republic;1. School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094 PR China;2. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083 PR China
Abstract:In this paper, we study a distributed state estimation problem for Markov jump systems (MJS) over sensor networks, in which each sensor node connects with each other through wireless networks with communication delays. We assume that each sensor node maintains a buffer to store delayed data transmitted from neighbor nodes. A distributed multiple model filter is designed by using the interacting multiple model methods (IMM) and a recursive delays compensation method. In order to ensure the stability, two stability conditions are derived for boundedness of estimation errors and boundedness of error covariance. Finally, the effectiveness of the proposed methods is illustrated by simulations and experiments of maneuvering target tracking.
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