Passivity-based non-fragile control for Markovian jump systems with aperiodic sampling |
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| Affiliation: | 1. National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou Zhejiang, 310027, PR China;2. Institute of Information and Control, Hangzhou Dianzi University, Hangzhou Zhejiang, 310018, PR China;3. Electro-Mechanical Engineering Group, Faculty of Engineering and the Environment, University of Southampton, SO17 1BJ, UK;1. The Key Lab for IoT and Information Fusion Technology of Zhejiang, the Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China;2. School of Automation, Guangdong University of Technology, and Guangdong Key Laboratory of IoT Information Processing, Guangzhou 510006, China;1. School of Automation, Guangdong University of Technology, and Guangdong Key Laboratory of IoT Information Processing, Guangzhou 510006, China;2. National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, China;1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, China;2. College of Science, Henan Institute of Engineering, Zhengzhou, Henan 451191, China;1. Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, Heilongjiang Province, 150001, PR China;2. College of Information Science and Engineering, Ocean University of China, Qingdao 266071, PR China;3. Department of Engineering, Faculty of Technology and Science, University of Agder, N-4898 Grimstad, Norway;1. School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA 5005, Australia;2. College of Engineering and Science, Victoria University, Melbourne, Vic. 8001, Australia;3. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi 214122, China;4. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China |
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| Abstract: | In this paper, the problem of non-fragile passive control for Markovian jump systems with aperiodic sampling is investigated. The considered controller is assumed to have either additive or multiplicative norm-bounded uncertainties. A time-dependent Lyapunov functional capturing the available information of the sampling pattern is constructed to derive a sufficient condition for non-fragile stochastic passivity of the resultant closed-loop system. Based on the condition, a mode-independent state feedback sampled-data controller is designed such that for all admissible uncertainties the closed-loop system is robustly stochastically passive. Two illustrative examples are included to demonstrate the effectiveness and merits of the proposed techniques. |
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| Keywords: | Non-fragile control Markovian jump systems Sampled-data control |
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