Presented in this paper, is an adaptive control scheme and a parameters update law based upon the Lyapunov stability theorem. It is intended for the synchronization of a new chaotic system with unknown parameters. Feed back control system for synchronization of chaotic system is proposed by using complete synchronization approach. In the proposed method, each system is constructed with MATLAB simulink blocks, and then Simulink designs are translated into System Generator design so that bitstream file used to program FPGA is obtained. Finally, the design is implemented into FPGA by downloading bitstream file into FPGA. As an application of FPGAs the synchronization of chaotic systems has been achieved. Additionally, we show the effectiveness of proposed method by the use of numerical solution.
Keywords
Chaos synchronization, Complete synchronization, Adaptive control, Lyapunov stability theorem, System generator, FPGA implementation.
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