fuzzy observer design with n-shift multiple key for cryptography based on 3d hyperchaotic oscillator

a fuzzy observer based scheme for synchronizing two hyperchaoticoscillators via a scalar transmitted signal for cryptographic application isproposed. the takagi-sugeno fuzzy model exactly represents chaotic systems.based on the general fuzzy model, the fuzzy observer of a chaotic system isdesigned on the basis of the n-shift multiple state based key encryption algorithm.the scalar transmitted signal is designed in such a way that the hyperchaoticcarrier masks the encrypted signal, which in turn hides the message signal.simulation results show that the proposed scheme gives a better performanceeven when a small additive stochastic noise is present in the channel.