Adaptive Control Synchronization of a Novel Memristive Chaotic System for Secure Communication Applications

Abstract

In this paper, a new memristive chaotic system is designed, analyzed, tested, and proposed. An adaptive control synchronization mechanism for both master and slave chaotic systems is also designed. The adaptive control law of this mechanism is derived based on the Lyapunov theory. A single parameter in the slave system has been assumed to be unknown. As the parameters of the master and slave are asymptotically matched, the unknown slave parameters will be identified according to the master’s parameters. The proposed system is used in a secure communication system. The achieved results prove a simple system implementation with a high security of data transmission.

Conditional Symmetry of a Memristive System with Amplitude and Frequency Modulation Control

“…It is proved that a symmetric system or a conditionally symmetric system can be constructed by using offset boosting. (2) e dynamic characteristics of the new system generated by scale change are the same as that of the original system, but a nonbifurcation parameter can be formed to adjust the amplitude and frequency of system (3). e simulation circuit verifies the amplitude modulation characteristics of the system.…”

“…In 2008, HP laboratory released a TiO 2 charged memristor [1], declaring that a memristor was found. A large number of research studies on memristor models and typical chaotic systems have been published, making the memristor widely studied in secure communication [2,3], cryptography [4,5], image encryption [6,7], associative memory [8,9], voice encryption [10], and recognition and sequencing application [11]. Wang et al [12] reported a special bursting behavior previously unobserved in third-order autonomous memristive circuits.…”

A New Fractional-Order Chaotic System with Its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications

“…The synchronization between two systems can be achieved when the trajectories of two systems are matched [29][30][31]. In chaos systems, the synchronization mechanism plays a significant role in constructing secure communication schemes [32][33][34]. It can occur between two chaotic systems; one is a master and the driven one is a slave [35,36].…”

Design of Adaptive-Robust Controller for Multi-State Synchronization of Chaotic Systems with Unknown and Time-Varying Delays and Its Application in Secure Communication

“…The work on applications of chaotic synchronization in secure communication has grown dramatically in recent years [ 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 ]. Developing control systems for synchronization of various chaotic systems has been one of the main focuses of prior works, aiming to improve security in communication.…”

“…The idea of utilizing adaptive control for synchronization is proposed in [ 32 ]. The master and slave chaos systems discussed in this work are of the memristor type.…”