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Sampled-data nonlinear observer design for chaos synchronization: A Lyapunov-based approach
Institution:1. Department of Electrical Engineering, Miyaneh Branch, Islamic Azad University, Miyaneh, Iran;2. School of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran;3. Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, Ankara, Turkey;4. Institute of Space Sciences, Magurele-Bucharest, Romania;5. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia;1. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China;2. Department of Mathematics, Tongji University, Shanghai 200092, China;1. College of Mathematics and Information Science, Jiangxi Normal University, Jiangxi 330022, China;2. School of Mathematical Science, Anhui University, Hefei 230039, China;3. School of Mathematics and Statistics, The University of Western Australia, Crawley, WA 6009, Australia;4. Department of Mathematics, Shanghai University, Shanghai 200444, China;1. School of Information and Control, Nanjing University of Information Science and Technology, Nanjing, 210044, China.;2. College of Information Science and Engineering, Northeastern University, Shenyang, China.;3. State Key Laboratory of Synthetical Automation for Process Industries (Northeastern University), Shenyang, 110004, China.;1. Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu 210023, PR China;2. School of Automation, Southeast University, Nanjing, 210096, PR China;3. Institute of Information and Control Engineering Technology, Nanjing Normal University, Nanjing, Jiangsu 210042, PR China;4. College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing, Jiangsu 210042, PR China;1. Centre for Intelligent and Networked Systems, Central Queensland University, Rockhampton, QLD 4702, Australia;2. School of Automation, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China;1. School of Science, Xi’an University of Technology, Xi’an 710048, PR China;2. School of Science, Xi’an Jiaotong University, Xi’an 710049, PR China
Abstract:This paper considers sampled-data based chaos synchronization using observers in the presence of measurement noise for a large class of chaotic systems. We study discretized model of chaotic systems which are perturbed by white noise and employ Lyapunov-like theorems to come up with a simple yet effective observer design. For the choice of observer gain, a suboptimal criterion is obtained in terms of LMI. We present semiglobal as well as global results. The proposed scheme can also be extended for discrete-time chaotic systems. Numerical simulations have been carried out to verify the effectiveness of theoretical results.
Keywords:State estimation  Nonlinear observer  Chaos synchronization  Linear matrix inequality (LMI)
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