In this paper, for a class of uncertain fractional order chaotic systems with disturbances and partially unmeasurable states, an observer-based event-triggered adaptive fuzzy backstepping synchronization control method is proposed. Fuzzy logic systems are employed to estimate unknown functions in the backstepping procedure. To avoid the explosion of the complexity problem, a fractional order command filter is designed. Simultaneously, in order to reduce the filter error and improve the synchronization accuracy, an effective error compensation mechanism is devised. In particular, a disturbance observer is devised in the case of unmeasurable states, and a state observer is established to estimate the synchronization error of the master–slave system. The designed controller can ensure that the synchronization error converges to a small neighborhood around the origin finally and all signals are semiglobal uniformly ultimately bounded, and meanwhile, it is conducive to avoiding Zeno behavior. Finally, two numerical simulations are given to verify the effectiveness and accuracy of the proposed scheme.
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April 2023
Research Article|
April 05 2023
Observers-based event-triggered adaptive fuzzy backstepping synchronization of uncertain fractional order chaotic systems
Hanlin Dong
;
Hanlin Dong
(Writing – original draft)
1
College of Mathematics and Physics, Center for Applied Mathematics of Guangx, Guangxi Minzu University
, Nanning, 530006, China
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Jinde Cao
;
Jinde Cao
(Writing – original draft, Writing – review & editing)
2
School of Mathematics, Southeast University
, Nanjing 211189, China
3
Yonsei Frontier Lab, Yonsei University, Seoul 03722
, South Korea
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Heng Liu
Heng Liu
a)
(Writing – review & editing)
1
College of Mathematics and Physics, Center for Applied Mathematics of Guangx, Guangxi Minzu University
, Nanning, 530006, China
2
School of Mathematics, Southeast University
, Nanjing 211189, China
a)Author to whom correspondence should be addressed: liuheng122@gmail.com
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a)Author to whom correspondence should be addressed: liuheng122@gmail.com
Chaos 33, 043113 (2023)
Article history
Received:
November 22 2022
Accepted:
March 17 2023
Citation
Hanlin Dong, Jinde Cao, Heng Liu; Observers-based event-triggered adaptive fuzzy backstepping synchronization of uncertain fractional order chaotic systems. Chaos 1 April 2023; 33 (4): 043113. https://doi.org/10.1063/5.0135758
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