Adaptive Sliding Mode Controller Design for Projective Synchronization of Different Chaotic Systems with Uncertain Terms and External Bounded Disturbances
Joint Authors
Wang, Zenghui
Cang, Shijian
Chen, Zengqiang
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Synchronization is very useful in many science and engineering areas.
In practical application, it is general that there are unknown parameters, uncertain terms, and bounded external disturbances in the response system.
In this paper, an adaptive sliding mode controller is proposed to realize the projective synchronization of two different dynamical systems with fully unknown parameters, uncertain terms, and bounded external disturbances.
Based on the Lyapunov stability theory, it is proven that the proposed control scheme can make two different systems (driving system and response system) be globally asymptotically synchronized.
The adaptive global projective synchronization of the Lorenz system and the Lü system is taken as an illustrative example to show the effectiveness of this proposed control method.
American Psychological Association (APA)
Cang, Shijian& Wang, Zenghui& Chen, Zengqiang. 2013. Adaptive Sliding Mode Controller Design for Projective Synchronization of Different Chaotic Systems with Uncertain Terms and External Bounded Disturbances. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-503720
Modern Language Association (MLA)
Cang, Shijian…[et al.]. Adaptive Sliding Mode Controller Design for Projective Synchronization of Different Chaotic Systems with Uncertain Terms and External Bounded Disturbances. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-503720
American Medical Association (AMA)
Cang, Shijian& Wang, Zenghui& Chen, Zengqiang. Adaptive Sliding Mode Controller Design for Projective Synchronization of Different Chaotic Systems with Uncertain Terms and External Bounded Disturbances. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-503720
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503720