Adaptive Synchronization for Two Different Stochastic Chaotic Systems with Unknown Parameters via a Sliding Mode Controller
Joint Authors
Lu, Dingyang
Huang, Lihong
Wang, Zengyun
Yang, Xuxin
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper investigates the problem of synchronization for two different stochastic chaotic systems with unknown parameters and uncertain terms.
The main work of this paper consists of the following aspects.
Firstly, based on the Lyapunov theory in stochastic differential equations and the theory of sliding mode control, we propose a simple sliding surface and discuss the occurrence of the sliding motion.
Secondly, we design an adaptive sliding mode controller to realize the asymptotical synchronization in mean squares.
Thirdly, we design an adaptive sliding mode controller to realize the almost surely synchronization.
Finally, the designed adaptive sliding mode controllers are used to achieve synchronization between two pairs of different stochastic chaos systems (Lorenz-Chen and Chen-Lu) in the presence of the uncertainties and unknown parameters.
Numerical simulations are given to demonstrate the robustness and efficiency of the proposed robust adaptive sliding mode controller.
American Psychological Association (APA)
Wang, Zengyun& Huang, Lihong& Yang, Xuxin& Lu, Dingyang. 2013. Adaptive Synchronization for Two Different Stochastic Chaotic Systems with Unknown Parameters via a Sliding Mode Controller. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-472718
Modern Language Association (MLA)
Wang, Zengyun…[et al.]. Adaptive Synchronization for Two Different Stochastic Chaotic Systems with Unknown Parameters via a Sliding Mode Controller. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-472718
American Medical Association (AMA)
Wang, Zengyun& Huang, Lihong& Yang, Xuxin& Lu, Dingyang. Adaptive Synchronization for Two Different Stochastic Chaotic Systems with Unknown Parameters via a Sliding Mode Controller. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-472718
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472718