Robust chaotic communication via high gain observer
International Journal of Systems, Control and Communications
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Fuzzy Sets and Systems
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Expert Systems with Applications: An International Journal
IEEE Transactions on Fuzzy Systems
Robust output regulation of T-S fuzzy systems with multiple time-varying state and input delays
IEEE Transactions on Fuzzy Systems
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ICIC '07 Proceedings of the 3rd International Conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence
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ACA'12 Proceedings of the 11th international conference on Applications of Electrical and Computer Engineering
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Applied Soft Computing
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International Journal of Artificial Life Research
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This paper presents synthesis approaches for synchronization and secure communications of chaotic systems by using fuzzy model-based design methods. Many well-known continuous and discrete chaotic systems can be exactly represented by T-S fuzzy models with only one premise variable. According to the applications on synchronization and signal modulation, the general fuzzy models may have either i) common bias terms; or ii) the same premise variable and driving signal. Then we propose two types of driving signals, namely, fuzzy driving signal and crisp driving signal, to deal with the asymptotical synchronization and secure communication problems for cases i) and ii), respectively. Based on these driving signals, the solutions are found by solving LMI problems. It is worthy to note that many well-known chaotic systems, such as Duffing system, Chua's circuit. Rassler's system, Lorenz system, Henon map, and Lozi map can achieve their applications on asymptotical synchronization and recovering messages in secure communication by using either the fuzzy driving signal or the crisp driving signal. Finally, several numerical simulations are shown to verify the results