Co-design of transition rates and sliding mode switched controller for Markovian jumping systems under intermittent DoS attacks |
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| Institution: | 1. Shanghai University of Engineering Science, Shanghai, 201620, China;2. Shanghai Electric Automation Group, Shanghai, 200023, China;3. Key Laboratory of Smart Manufacturing in Energy Chemical Process (East China University of Science and Technology), Ministry of Education, Shanghai, 200237, China;1. College of Electrical Power and Engineering, Taiyuan University of Technology, 79 Yingze West Street, Taiyuan, China;2. Agricultural Bank of China Changzhi Branch, Changzhi, Shanxi, China;3. Department of Chemical Engineering, Chung-Yuan Christian University, Taoyuan, Taiwan, R.O.C.;4. School of Electrical and Electronic Engineering, University of Adelaide, Adealide SA, 5005, Australia;1. AnHui Province Key Laboratory of Special Heavy Load Robot and School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243032, China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China;3. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, PR China;1. School of Artificial Intelligence and Automation, Beijing University of Technology, Beijing 100124, PR China;2. Engineering Research Center of Intelligent Perception and Autonomous Control, Ministry of Education, Beijing 100124, PR China;3. Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian 116024, PR China;1. School of Mathematics and Statistics, Liaoning University, Shenyang 110036, China;2. State Key Laboratory of Synthetical Automation for Process Industries Northeastern University, Shenyang 110819, China;1. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, China;2. College of Science, China Three Gorges University, Yichang 443002, China;3. Centre of New Energy Systems, Department of Electrical, Electronics and Computer Engineering, University of Pretoria, Pretoria, South Africa |
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| Abstract: | This paper focuses on the stabilization problem for a class of Markovian jumping systems (MJSs) subject to intermittent denial-of-service (IDoS) attacks by synthesizing the sliding mode control (SMC) and the transition rate matrix (TRM). The existing conditions for the transition rates are firstly established to ensure the exponential mean-square stability of the unforced uncertain MJSs. And then, a co-design scheme for both the sliding mode controller and TRM is synthesized to achieve the exponential mean-square stability of the closed-loop system under IDoS, in which a switching estimator is utilized to estimate the unmeasurable system state. By introducing a novel Lyapunov function, both the reachability and the stability of sliding mode dynamics are detailedly analyzed, and an iterative optimization algorithm is given for solving the corresponding sufficient conditions. Finally, the proposed co-design SMC strategy is illustrated via the simulation examples. |
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