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Synchronization of Lorenz System Based on Fast Stabilization Sliding Mode Control
Joint Authors
Guowei, Xu
Zhenkai, Wan
Li, Chunqing
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-21
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
A sliding mode control approach is achieved for Lorenz system based on optimal finite time convergent and integral sliding mode surface.
The system perturbation is divided into two parts: the unmatched and the matched parts.
Firstly, we design a discontinuous control for the unmatched part which will not be amplified.
Secondly, we design a continuous control, that is, the ideal control to stabilize the Lorenz system error states in finite time stabilization.
Then the controller based on integral sliding mode is constructed to ensure the robustness.
The proposed method is proven to guarantee the stability and the robustness using the Lyapunov theory in the system uncertainties and external perturbation.
Finally, the numerical simulations demonstrate that the proposed controller is effective and robust with respect to the perturbation.
American Psychological Association (APA)
Guowei, Xu& Zhenkai, Wan& Li, Chunqing. 2015. Synchronization of Lorenz System Based on Fast Stabilization Sliding Mode Control. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1073409
Modern Language Association (MLA)
Guowei, Xu…[et al.]. Synchronization of Lorenz System Based on Fast Stabilization Sliding Mode Control. Mathematical Problems in Engineering No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1073409
American Medical Association (AMA)
Guowei, Xu& Zhenkai, Wan& Li, Chunqing. Synchronization of Lorenz System Based on Fast Stabilization Sliding Mode Control. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1073409
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073409