Variable universe adaptive fuzzy sliding mode projective synchronization of hyperjerk system based on disturbance observer

In this paper, a sliding mode projective synchronization strategy based on disturbance observer and fuzzy system is presented to implement projective synchronization of hyperjerk system with low time-varying disturbance and white noise. Theoretical analysis and numerical calculation show that the di...

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Bibliographic Details
Published in:SN applied sciences 2022-01, Vol.4 (1), p.29-11, Article 29
Main Authors: Zhang, Baojie, Feng, Yuming, Yu, Hongyan, Zhang, Xianxiu
Format: Article
Language:English
Subjects:
Adaptive control
Applied and Technical Physics
Chemistry/Food Science
Controllers
Design
Disturbance
Disturbance observer
Disturbance observers
Earth Sciences
Engineering
Environment
Fuzzy control
Hyperjerk system
Low time-varying
Materials Science
Ordinary differential equations
Research Article
Sliding mode control
Synchronism
Synchronization
System theory
Theoretical analysis
Universe
Variable universe adaptive fuzzy control
White noise
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Summary:In this paper, a sliding mode projective synchronization strategy based on disturbance observer and fuzzy system is presented to implement projective synchronization of hyperjerk system with low time-varying disturbance and white noise. Theoretical analysis and numerical calculation show that the disturbance observer can approach the low time-varying disturbance very well. The application of disturbance observer reduces the chattering of the controller. Variable universe adaptive fuzzy control (VUAFC) method is utilized to further reduce the chattering phenomenon. The simulation results demonstrate the effectiveness of the proposed controller.
ISSN:2523-3963
2523-3971
DOI:10.1007/s42452-021-04913-w