IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Chaos synchronization based on PI fuzzy observer
FS'09 Proceedings of the 10th WSEAS international conference on Fuzzy systems
An adaptive fuzzy observer-based approach for chaotic synchronization
International Journal of Approximate Reasoning
IEEE Transactions on Fuzzy Systems
On the noise-enhancing ability of stochastic hodgkin-huxley neuron systems
Neural Computation
A new state estimation method for chaotic signals: Map-particle filter method
Expert Systems with Applications: An International Journal
Robust observer-based output feedback control for fuzzy descriptor systems
Expert Systems with Applications: An International Journal
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This paper presents a systematic design methodology for fuzzy observer-based secure communications of chaotic systems with guaranteed robust performance. The Takagi-Sugeno fuzzy models are given to exactly represent chaotic systems. Then, the general fuzzy model of many well-known chaotic systems is constructed with only one premise variable in fuzzy rules and the same premise variable in the system output. Based on this general model, the fuzzy observer of chaotic system is given and leads the stability condition of a linear-matrix inequality problem. When taking the fuzzy observer-based design to applications on secure communications, the robust performance is presented by simultaneously considering the effects of parameter mismatch and external disturbances. Then, the error of the recovered message is stated in an H∞ criterion. In addition, if the communication system is free of external disturbances, the asymptotic recovering of the message is obtained in the same framework. The main results also hold for applications on chaotic synchronization. Numerical simulations illustrate that this proposed scheme yields robust performance