Adaptive single input sliding mode control for hybrid-synchronization of uncertain hyperchaotic Lu systems |
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| Institution: | 1. School of Electronics Engineering, Kyungpook National University, 80 Daehakro, Bukgu, Daegu 41566, Republic of Korea;2. Department of Control and Instrumentation Engineering, Pukyong National University, 45 Yongsoro, Namgu, Busan 48513, Republic of Korea;1. School of Measurement and Communication, Harbin University of Science and Technology, Harbin 150080, China;2. School of Science, Harbin University of Science and Technology, Harbin 150080, China;3. School of Automation, Harbin University of Science and Technology, Harbin 150080, China;4. Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin 150080, China;1. Cyber Physical Systems & Control Laboratory, Department of Robot and Smart System Engineering, Kyungpook National University, Daehak-ro 80, Daegu, Republic of Korea;2. Cyber Physical Systems & Control Laboratory, School of Electronic and Electrical Engineering, Kyungpook National University, Daehak-ro 80, Daegu, Republic of Korea;1. Medical IT Convergence Research Section, Electronics and Telecommunications Research Institute (ETRI), Daegu 42994, Republic of Korea;2. School of Electronic and Electrical Engineering, Kyungpook National University, Daehak-ro 80, Republic of Korea;3. Smart Mobility Research Section, Electronics and Telecommunications Research Institute (ETRI), Daegu, Republic of Korea;4. Cyber Physical Systems & Control Laboratory, School of Electronic and Electrical Engineering, Kyungpook National University, Daehak-ro 80, Republic of Korea;1. Smart Mobility Research Section, Electronics and Telecommunications Research Institute (ETRI), Daegu, Republic of Korea;2. Medical IT Convergence Research Section, Electronics and Telecommunications Research Institute (ETRI), Daegu, Republic of Korea;3. Cyber Physical Systems & Control Laboratory, School of Electronics Engineering, Kyungpook National University, Daehak-ro 80, Republic of Korea;1. School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea;2. Center for Global Converging Humanities, Kyung Hee University, Yongin 17104, Republic of Korea;3. School of Electronics Engineering, Kyungpook National University, Daegu 41566, Republic of Korea |
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| Abstract: | This paper addresses the problem of hybrid synchronization for hyperchaotic Lu systems without and with uncertain parameters via a single input sliding mode controller (SMC). Based on the SMC approach, the proposed controller not only minimizes the influence of uncertainty but also enhances the robustness of the system. The uncertain parameters are estimated by using new adaptation laws which ensure the uncertain parameters convergence to their original value. A hybrid synchronization scheme is useful to maintain the vastly secured and secrecy in the area of secure communication by using the control theory approach. The proposed hybrid synchronization results are providing a superiority of forming a chaotic secure communication scheme. Finally, a numerical example is provided to demonstrate the validity of the theoretical analysis. |
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