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....

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Main Authors: Lixiong Lin, Qing Wang, Guowei Cai
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9997483/
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author Lixiong Lin
Qing Wang
Guowei Cai
author_facet Lixiong Lin
Qing Wang
Guowei Cai
author_sort Lixiong Lin
collection DOAJ
description 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.
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spelling doaj.art-9935be94dc8543a08c62680608b0d1ba2022-12-31T00:00:17ZengIEEEIEEE Access2169-35362022-01-011013366313367210.1109/ACCESS.2022.32316109997483FPGA Realization of Two Different Fractional- Order Time-Delay Chaotic System With Predefined Synchronization TimeLixiong Lin0https://orcid.org/0000-0002-9829-5358Qing Wang1https://orcid.org/0000-0003-0701-1418Guowei Cai2School of Ocean Information Engineering, Jimei University, Xiamen, ChinaVOYAH Automobile Technology Company, Wuhan, ChinaFujian Chuanzheng Communications College, Fuzhou, ChinaTo 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.https://ieeexplore.ieee.org/document/9997483/FPGAfixed time synchronizationfractional-order time-delay chaotic systempredefined time synchronization
spellingShingle Lixiong Lin
Qing Wang
Guowei Cai
FPGA Realization of Two Different Fractional- Order Time-Delay Chaotic System With Predefined Synchronization Time
IEEE Access
FPGA
fixed time synchronization
fractional-order time-delay chaotic system
predefined time synchronization
title FPGA Realization of Two Different Fractional- Order Time-Delay Chaotic System With Predefined Synchronization Time
title_full FPGA Realization of Two Different Fractional- Order Time-Delay Chaotic System With Predefined Synchronization Time
title_fullStr FPGA Realization of Two Different Fractional- Order Time-Delay Chaotic System With Predefined Synchronization Time
title_full_unstemmed FPGA Realization of Two Different Fractional- Order Time-Delay Chaotic System With Predefined Synchronization Time
title_short FPGA Realization of Two Different Fractional- Order Time-Delay Chaotic System With Predefined Synchronization Time
title_sort fpga realization of two different fractional order time delay chaotic system with predefined synchronization time
topic FPGA
fixed time synchronization
fractional-order time-delay chaotic system
predefined time synchronization
url https://ieeexplore.ieee.org/document/9997483/
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AT qingwang fpgarealizationoftwodifferentfractionalordertimedelaychaoticsystemwithpredefinedsynchronizationtime
AT guoweicai fpgarealizationoftwodifferentfractionalordertimedelaychaoticsystemwithpredefinedsynchronizationtime