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Finite-time asynchronous state estimation for jump systems with partial transition probabilities via redundant channels: A co-design method
Institution:1. School of Electrical Engineering and Computer Science, Washington State University, Pullman WA, USA;2. College of Information Science and Engineering, Northeastern University, Shenyang, China;3. Department of Electrical Engineering, Mathematics and Computer Science, University of Twente, Enschede, the Netherlands;1. Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, 150006, PR China;2. Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA;1. Institute of Electrical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China;2. Liren College of Yanshan University, Qinhuangdao Hebei, 066004;3. School of Communication Engineering, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310018, China;1. College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China;3. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China;4. School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, 273165, China;5. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Abstract:This paper addresses the H finite-time asynchronous state estimation issue for Markov jump systems with partial transition probabilities. A hidden-Markov-chain-based redundant channel model (HMCb-RCM) is established to reflect a more practical situation. Based on the output of the HMCb-RCM, firstly an asynchronous full-order state estimator is devised for the jump system with partial transition probabilities. Then, new sufficient criteria are derived such that the state estimation error is H stochastically finite-time bounded. The relationship between the partial transition probabilities and asynchronous modes is revealed as few attempts. The conditional transition probability matrix (CTPM) for the HMCb-RCM is not fixed but designable accordingly; a co-design strategy is newly developed to synthesize the CTPM and the state estimator simultaneously, which produces less conservatism than that with fixed CTPM. Finally, the theoretical results are applied to a one-link robotic manipulator to validate the proposed results.
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