Robust synchronization of a class of chaotic systems with disturbance estimation |
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| Institution: | 1. Sobolev Institute of Mathematics, Koptyug ave., 4, Novosibirsk 630090, Russia;2. Novosibirsk State University, Pirogov st., 1, Novosibirsk 630090, Russia;1. School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu 210023, PR China;2. MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha 410081 Hunan, PR China;1. College of Information Science and Engineering, Northeastern University, Shenyang 110819, PR China;2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, PR China;3. Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang, Liaoning, PR China;1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, PR China;2. Institute of Data Science and Technology, Shandong Normal University, Ji’nan 250014, PR China;3. Department of Mathematics, University of Carthage, Faculty of Sciences of Bizerta, Research Units of Mathematics and Applications UR13ES47, Zarzouna, Bizerta 7021,Tunisia |
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| Abstract: | This paper investigates the robust synchronization problem for a class of chaotic systems with external disturbances. By using disturbance-observer-based control (DOBC) and LMI approach, the disturbance observers are developed to ensure the boundedness of the disturbance error dynamical. Then, by employing the sliding mode control technique, an adaptive control law is established to eliminate the effect of disturbance error to realize synchronization between the master and slave systems. Finally, the corresponding numerical simulations are demonstrated to verify the effectiveness of proposed method. |
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