Compounding and Synchronization of Fractional Order Chaotic Systems With Prescribed Performance for Secure Communication

Fractional-order chaotic systems show great potential in secure communications because of their unique properties. In order to improve their encryption and anti-attack capabilities, a new compounding mechanism is developed for fractional-order multidrive and response chaotic systems. Rather than using simple addition, which is often employed in existing work, the compounding is based on multiplication, making the system topology much more complex and difficult to predict. A synchronization method is thus developed for the compounded system using a projective approach and the synchronization error is able to converge to zero within the range defined by a prescribed performance function. In addition, the developed synchronization controller represents a general form, and it can be easily transformed into other methods by choosing different design parameters. Simulation results and comparative analysis are also carried out between the proposed and prior control techniques to illustrate the effectiveness of the presented scheme.

I. Introduction

With the development of information technology, the security of information transmission is faced with great challenges. To address these challenges, various advanced technologies have been developed [1], [2], [3]. Among those, The security of chaos-based communication is promising in the security of information transmission [4], [5]. The fractional-order system has received increased attention across several disciplines in recent years because it describes several physical phenomena better than the integer-order system [6], [7]. Due to their unique properties, fractional-order chaotic systems are very promising in many applications, such as secure communications [8].