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Synchronizing the noise-perturbed Genesio chaotic system by sliding mode control
Institution:1. School of Mathematics, Shandong University, Jinan 250100, China;2. School of Electrical and Electronic Engineering, Shandong University of Technology, Zibo 255000, China;1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, PR China;2. Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, PR China;1. Faculty of Veterinary and Agricultural Sciences, The University of Melbourne, VIC 3010, Australia;2. Institute of Subtropical Agriculture, Chinese Academy of Sciences, Changsha 410125, China;3. Department of Chemistry, University of Wollongong, NSW 2522, Australia;4. Ternes Agricultural Consulting Pty Ltd, Upwey, VIC 3158, Australia;1. Model and Control Group (GCOM), Department of Electrical Engineering, Federal University of São João del-Rei, São João del-Rei, MG, 36307-352, Brazil;2. Department of Electronic Engineering, School of Engineering, Federal University of Minas Gerais, Belo Horizonte, MG, 31270-901, Brazil
Abstract:This paper investigates the chaos synchronization between Genesio chaotic systems with noise perturbation. It is proved theoretically that the synchronization between such noise-perturbed systems can be implemented by choosing a suitable sliding mode surface and designing a sliding mode controller. Numerical simulations show the effectiveness of the theoretical analysis. This proposed method is important because it can be applied to many other chaotic systems.
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