Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model
Joint Authors
Wang, Lin
Ni, Jinbo
Yang, Chunzhi
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper presents an adaptive fuzzy synchronization control strategy for a class of different uncertain fractional-order chaotic/hyperchaotic systems with unknown external disturbances via T-S fuzzy systems, where the parallel distributed compensation technology is provided to design adaptive controller with fractional adaptation laws.
T-S fuzzy models are employed to approximate the unknown nonlinear systems and tracking error signals are used to update the parametric estimates.
The asymptotic stability of the closed-loop system and the boundedness of the states and parameters are guaranteed by fractional Lyapunov theory.
This approach is also valid for synchronization of fractional-order chaotic systems with the same system structure.
One constructive example is given to verify the feasibility and superiority of the proposed method.
American Psychological Association (APA)
Wang, Lin& Ni, Jinbo& Yang, Chunzhi. 2018. Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1185968
Modern Language Association (MLA)
Wang, Lin…[et al.]. Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model. Journal of Function Spaces No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1185968
American Medical Association (AMA)
Wang, Lin& Ni, Jinbo& Yang, Chunzhi. Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1185968
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185968