Abstract
Background/Objectives : In this research work, digital circuit implementation on FPGA of an adaptive feedback control methodology for a new 3 – D chaotic system is proposed Methods/Statistical analysis: The chaos synchronization is achieved using adaptive feedback control method. The new adaptive controllers are designed to achieve the chaos synchronization for the identical new chaotic system. The FPGA implementation of chaos synchronization using numerical methods induces artificial suppression in the chaotic system or chaotic behavior can be dead in very short-time. In this research work, the FPGA implementation of chaos synchronization is achieved with the help of automatic code generator like System generator in Matlab simulink. The adaptive feedback control for identical new chaotic system is coded with VHDL with 32 bit fixed point number, 12 for the entire and 20 for the fraction. Findings: In this paper, we designed a new 3D chaotic system and its chaotic behavior is verified using Lyapunov exponents, stability analysis and Poincare map. The complete synchronization for proposed chaotic system is achieved using adaptive feedback control methodology. The digital circuit realization of adaptive feedback control for the synchronization of identical chaotic system based on FPGA is achieved for the various applications of digital information systems. Simulation results and FPGA outputs illustrate the effectiveness of our proposed method. Novelty/Applications: The digital implementation of adaptive feedback control has many engineering applications such as digital data transmission, digital modulation, video encryption, digital cryptosystem etc. Keywords: Chaotic system; complete synchronization; adaptive feedback control; FPGA implementation; digital implementation
Highlights
Chaotic systems are nonlinear dynamical systems which are highly sensitive to initial conditions
We proposed a new chaotic system and its properties are analyzed in detail
The experimental results and numerical simulations proved that the proposed feedback methodology is efficient and convenient for the chaos synchronization
Summary
Chaotic systems are nonlinear dynamical systems which are highly sensitive to initial conditions. This sensitivity is popularly known as the butterfly effect. Chaos is an interesting nonlinear phenomenon and has been studied well in the last three decades. Chaos theory has wide applications in several fields like oscillators[1,2], image encryption[3,4], chemical reactors[5,6], secure communications[7,8], biological systems[9,10], etc. In this paper a new 3D chaotic system is introduced and its basic properties such as Lyapunnov exponents, stability analysis, Poincare map are studied. The new chaotic system introduced in this paper consists of four nonlinear terms and five parameters unstable at all equilibrium points
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