Fuzzy synchronization of fractional-order chaotic systems using finite-time command filter

For conventional backstepping control, the analytical calculation of certain virtual controller is required in each step, so when system order increases, the computational burden also increases. An adaptive command filtered fuzzy synchronization approach is implemented for strict feedback fractional...

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Bibliographic Details
Published inInformation sciences Vol. 579; pp. 325 - 346
Main Authors Alassafi, Madini O., Ha, Shumin, Alsaadi, Fawaz E., Ahmad, Adil M., Cao, Jinde
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.11.2021
Subjects
Adaptive fuzzy synchronization control
Backstepping control
Command filter
Fractional-order chaotic system
Backstepping control
Adaptive fuzzy synchronization control
Fractional-order chaotic system
Command filter
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Summary:For conventional backstepping control, the analytical calculation of certain virtual controller is required in each step, so when system order increases, the computational burden also increases. An adaptive command filtered fuzzy synchronization approach is implemented for strict feedback fractional-order chaotic systems (FCSs) in this paper. The computational explosion in the backstepping is solved through a fractional-order command filter (FCF). The filtering approximation errors arising from the FCF are overcame by a error compensation mechanism (ECM). In every step, a fuzzy system is introduced to process system uncertainties. The stability of synchronization errors of a strict feedback FCS is ensured based on fractional Lyapunov stability criteria. Finally, numerical simulation examples illustrate the effectiveness of the proposed scheme.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2021.08.005