摘要
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This paper presents synthesis approaches for synchronization andsecure communications of chaotic systems by using fuzzy model-baseddesign methods. Many well-known continuous and discrete chaotic systemscan be exactly represented b...
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This paper presents synthesis approaches for synchronization andsecure communications of chaotic systems by using fuzzy model-baseddesign methods. Many well-known continuous and discrete chaotic systemscan be exactly represented by T-S fuzzy models with only one premisevariable. According to the applications on synchronization and signalmodulation, the general fuzzy models may have either i) common biasterms; or ii) the same premise variable and driving signal. Then wepropose two types of driving signals, namely, fuzzy driving signal andcrisp driving signal, to deal with the asymptotical synchronization andsecure communication problems for cases i) and ii), respectively. Basedon these driving signals, the solutions are found by solving LMIproblems. 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 asymptoticalsynchronization and recovering messages in secure communication by usingeither the fuzzy driving signal or the crisp driving signal. Finally,several numerical simulations are shown to verify the results
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