FPGA Realization of Two Different Fractional- Order Time-Delay Chaotic System With Predefined Synchronization Time

To solve the problem that the fractional-order system is difficult to implement on FPGA, the chaotic behavior of a single fractional-order Chen system is realized on the FPGA platform in this article by using Laplace transform and Bode-domain approximation to transform the fractional-order operator. Then the System Generator model of two different fractional-order systems is studied, and FTS/PTS (fixed/predefined time synchronization) algorithms are designed to realize the FTS/PTS of the FOTD (fractional-order time-delay) chaotic systems on FPGA. By changing the initial conditions and parameters of the FOTD chaotic systems, several groups of experiments are carried out on FPGA. The experimental results show that the FTS/PTS controllers of two different FOTD chaotic systems are feasible on FPGA.