Synchronization of Fractional-Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Chaotic systems are always influenced by some uncertainties and external disturbances.
This paper investigates the problem of practical synchronization of fractional-order chaotic systems with Gaussian fluctuation.
A fractional integral (FI) sliding surface is proposed for synchronizing the uncertain fractional-order system, and then the sliding mode control technique is carried out to realize the synchronization of the given systems.
One theorem about sliding mode controller is presented to prove that the proposed controller can make the system achieve synchronization.
As a case study, the presented method is applied to the fractional-order Chen-Lü system, and simulation results show that the proposed control approach is capable to go against Gaussian noise well.
American Psychological Association (APA)
Xu, Yong& Wang, Hua. 2013. Synchronization of Fractional-Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-510609
Modern Language Association (MLA)
Xu, Yong& Wang, Hua. Synchronization of Fractional-Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-510609
American Medical Association (AMA)
Xu, Yong& Wang, Hua. Synchronization of Fractional-Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-510609
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510609