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Observer-based synchronization of chaotic systems with unknown nonlinear function
Authors:Moez Feki
Affiliation:1. PDPM-Indian Institute of Information Technology Design and Manufacturing, Jabalpur 482005, India;2. Indian Institute of Technology Roorkee, Roorkee 247667, India;1. College of Mathematics and Statistics, Chongqing University, Chongqing, China;2. College of Physics Science, Chongqing University, Chongqing, China;1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082,China;2. Department of Computer Science, Hengyang Normal University, Hengyang, 421008, China;3. Key Laboratory of Advanced Design and Simulation Techniques for Special Equipment, Ministry of Education, Hunan University, Changsha, 410082, China;4. Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang, 421008, China;5. College of information technology, Ajou University, Suwon, 16499, Republic of Korea;1. Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, CAS, 100190, Beijing, China;2. Department of Automation, Shanghai Jiaotong University, Shanghai 200240, China;3. School of Sciences, Hebei University of Technology, Tianjin 300401, China;4. School of Engineering and Information Technology, University of New South Wales, Canberra, 2600, Australia;5. Optimization and Systems Theory, KTH Royal Institute of Technology, 10044 Stockholm, Sweden;1. École Nationale d?Ingénieurs de Tunis ENIT, Tunisia;2. Faculty of Science, Computer Science Laboratory, Menoufia University, Shebin El-Koom, Egypt
Abstract:This paper deals with the synchronization of chaotic systems using a time-delay observer. The class of systems considered herein have a known linear part and an unknown nonlinear function. The time-delay observer uses a linear gain to synchronize and a time-delay estimation to estimate the nonlinear function. To demonstrate the advantages of this scheme we present numerical simulations to synchronize double-scroll and three-scroll Chua’s systems.
Keywords:
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