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Synchronization of Two Fractional-Order Chaotic Systems via Nonsingular Terminal Fuzzy Sliding Mode Control
Joint Authors
Liu, Leipo
Song, Shuai
Balsera, Ines Tejado
Zhang, Lei
Song, Xiaona
Source
Journal of Control Science and Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-17
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
The synchronization of two fractional-order complex chaotic systems is discussed in this paper.
The parameter uncertainty and external disturbance are included in the system model, and the synchronization of the considered chaotic systems is implemented based on the finite-time concept.
First, a novel fractional-order nonsingular terminal sliding surface which is suitable for the considered fractional-order systems is proposed.
It is proven that once the state trajectories of the system reach the proposed sliding surface they will converge to the origin within a given finite time.
Second, in terms of the established nonsingular terminal sliding surface, combining the fuzzy control and the sliding mode control schemes, a novel robust single fuzzy sliding mode control law is introduced, which can force the closed-loop dynamic error system trajectories to reach the sliding surface over a finite time.
Finally, using the fractional Lyapunov stability theorem, the stability of the proposed method is proven.
The proposed method is implemented for synchronization of two fractional-order Genesio-Tesi chaotic systems with uncertain parameters and external disturbances to verify the effectiveness of the proposed fractional-order nonsingular terminal fuzzy sliding mode controller.
American Psychological Association (APA)
Song, Xiaona& Song, Shuai& Balsera, Ines Tejado& Liu, Leipo& Zhang, Lei. 2017. Synchronization of Two Fractional-Order Chaotic Systems via Nonsingular Terminal Fuzzy Sliding Mode Control. Journal of Control Science and Engineering،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1173625
Modern Language Association (MLA)
Song, Xiaona…[et al.]. Synchronization of Two Fractional-Order Chaotic Systems via Nonsingular Terminal Fuzzy Sliding Mode Control. Journal of Control Science and Engineering No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1173625
American Medical Association (AMA)
Song, Xiaona& Song, Shuai& Balsera, Ines Tejado& Liu, Leipo& Zhang, Lei. Synchronization of Two Fractional-Order Chaotic Systems via Nonsingular Terminal Fuzzy Sliding Mode Control. Journal of Control Science and Engineering. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1173625
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173625