Exponential H∞ Synchronization of Chaotic Cryptosystems Using an Improved Genetic Algorithm

Abstract EN

This paper presents a systematic design methodology for neural-network- (NN-) based secure communications in multiple time-delay chaotic (MTDC) systems with optimal H∞ performance and cryptography.

On the basis of the Improved Genetic Algorithm (IGA), which is demonstrated to have better performance than that of a traditional GA, a model-based fuzzy controller is then synthesized to stabilize the MTDC systems.

A fuzzy controller is synthesized to not only realize the exponential synchronization, but also achieve optimal H∞ performance by minimizing the disturbance attenuation level.

Furthermore, the error of the recovered message is stated by using the n-shift cipher and key.

Finally, a numerical example with simulations is given to demonstrate the effectiveness of our approach.