A new reduced-order observer for the synchronization of nonlinear chaotic systems: An application to secure communications

Abstract

This paper deals with the master-slave synchronization scheme for partially known nonlinear chaotic systems, where the unknown dynamics is considered as the master system and we propose the slave system structure which estimates the unknown states. It introduced a new reduced order observer, using the concept of Algebraic Observability; we applied the results to a Sundarapandian chaotic system, and by means of some numerical simulations we show the effectiveness of the suggested approach. Finally, the proposed observer is utilized for encryption, where encryption key is the master system and decryption key is the slave system.

A Simple Chaotic Flow with Hyperbolic Sinusoidal Function and Its Application to Voice Encryption

“…Chaotic flows are mathematical models originated from the rules of defining chaotic behaviors [1,2]. In the former decades, the chaos theory has been employed in numerous fields such as digital signature [3], secure cryptography [4], pseudorandom number generation [5], secure communication [6], weak signal detection [7], DC-DC boost converter [8], image encryption [9], neurophysiology [10], secure data transmission [11], etc. For the control and synchronization purposes of chaotic systems, several techniques like active control [12], fuzzy control [13], linear matrix inequality (LMI) [14], sampled-data control [15], impulsive adaptive control [16], intermittent control [17] and sliding mode control (SMC) [18] have been introduced.…”