Nonstationary quantized control for discrete-time Markov jump singularly perturbed systems against deception attacks |
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| Authors: | Xia Zhou Yanfang Tang Jun Cheng Jinde Cao Changfeng Xue Dong Yan |
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| Institution: | 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. 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. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China;1. College of Information Engineering, Fuyang Normal University, Fuyang 236041, PR China;2. School of Transportation Science and Engineering, Harbin Institute of Technology, Harbin 150090, PR China;3. School of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao, 266000, PR China;4. College of Mathematics and Statistics, Guangxi Normal University, Guilin, 541006, PR China;1. School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353, China;2. College of Information Science and Technology, Donghua University, Shanghai, 201620, China;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 |
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| Abstract: | This paper addresses the nonstationary quantized control problem for the discrete-time Markov jump singularly perturbed systems (MJSPSs) subject to deception attacks (DAs). The control inputs are characterized by randomly occurring DAs and nonstationary quantization simultaneously, where the DAs are depicted by means of a Bernoulli distributed sequence. By applying a multi-layer structure methodology (MLSM), the nonstationary controllers are devised for MJSPSs. Meanwhile, the correlation among system mode, controller mode, and quantizer mode are portrayed via the nonstationary Markov process. Based on a mode-dependent Lyapunov functional, sufficient criteria are established such that the resulting closed-loop system (CLS) is stochastic mean square exponential ultimately bounded (SMSEUB), and the desired controller is designed. Ultimately, two simulation examples are offered to elaborate on the validity and superiority of the proposed theoretical results. |
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