Synchronization of two chaotic systems: Dynamic compensator approach |
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| Authors: | Chang-Kuo Chen Tsung-Wen Lai Jun-Juh Yan Teh-Lu Liao |
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| Affiliation: | 1. College of Electrical and Information Engineering, Shaoyang University, Shaoyang, 422000, China;2. European University Institute, Department of Economics, Via delle Fontanelle, 18, I-50014, Florence, Italy;3. Rimini Centre for Economic Analysis (RCEA), LH3079, Wilfrid Laurier University, 75 University Ave W., ON N2L3C5, Waterloo, Canada;4. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, 11155-4563, Iran;5. School of Physics and Electronics, Central South University, Changsha, 410083, China;6. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico;7. Department of Mechanical Engineering, University of Manitoba, Winnipeg, R3T 5V6, Canada |
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| Abstract: | This study is concerned with the identical synchronization problem for a class of chaotic systems. A dynamic compensator is proposed to achieve the synchronization between master and slave chaotic systems using only the accessible output variables. A sufficient condition is also proposed to ensure the global synchronization. Furthermore, the strictly positive real (SPR) restriction, which is normally required in most of the observer-based synchronization schemes, is released in our approach. Two numerical examples are included to illustrate the proposed scheme. |
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