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Dissipative output feedback control for semi-Markovian jump systems under hybrid cyber-attacks
Authors:Huiyan Zhang  Xiuli He  Luis I Minchala  Peng Shi
Institution:1. National Research Base of Intelligent Manufacturing Service, Chongqing Technology and Business University, Chongqing 400067, China;2. College of Science, Hohai University, Nanjing 210098, China;3. Department of Electrical Electronics and Telecommunications Engineering, University of Cuenca, Ecuador;4. School of Electrical and Electronic Engineering, University of Adelaide, South Australia 5005, Australia;1. Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China;2. College of Automation, Chongqing University, Chongqing 400044, China;3. Public Security Business Group of Gosuncn Technology Group Co.,Ltd., China, 510530;1. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, Shandong 266520, China;2. School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, China;3. Mathematics and Computer Science, Shanxi Datong University, Datong, Shanxi 037009, China;1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China;2. School of Mathematics, Southeast University, Nanjing 21189, China;3. College of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, China;4. School of Information Science and Engineering, Chengdu University, Chengdu 610106, China;5. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea;6. School of Mathematics and Physics, Yancheng Institute of Technology, Yancheng 224051, China;7. College of Foreign Studies, Guangxi Normal University, Guilin 541006, China;1. Department of Automation, School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, China;2. School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel;3. College of Science, China Jiliang University, Hangzhou 310018, China
Abstract:In this paper, the dissipativity-based dynamic output feedback controller (DOFC) design for Semi-Markovian jump systems under stochastic cyber-attacks is first proposed. It is assumed that the time-varying uncertainties obey Bernoulli-distribution and transition probability matrix is time-varying and partially accessed. By utilizing the dissipativity-based technique, sufficient conditions for the existence of the DOFC are obtained to ensure the exponential stability with a strict dissipative performance of the resulted system. Next, the proposed results are improved by fractionalizing the time-varying transition probability matrix and the corresponding DOFC gains are obtained by cone complementarity linearization algorithm. Simulations results are provided to demonstrate the effectiveness and theoretical value of the proposed dissipativity-based DOFC design method.
Keywords:
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