Volume 5 Number 3 (Mar. 2010)
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JCP 2010 Vol.5(3): 456-463 ISSN: 1796-203X
doi: 10.4304/jcp.5.3.456-463

A New MLS Chaotic System and its Backstepping Sliding Mode Synchronization Control

Liang Shan1, Zhong Liu2, and Zhiquan Wang1
1 School of Automation, Nanjing University of Science & Technology, Nanjing, Jiangsu, 210094, China
2 School of Electronic Engineering & Optoelectronic Technology, Nanjing University of Science & Technology, Nanjing, Jiangsu, 210094, China


Abstract—A new four-dimensional system is proposed in this paper, which is named modified Lorenz-Stenflo (MLS) system. The system is constructed by replacing one of quadratic nonlinear terms of Lorenz-Stenflo system with a piecewise linear (PWL) function. The simple structure makes the MLS system much easier to be implemented with electronic circuits. Based on adaptive control and sliding mode control methods, an adaptive sliding mode controller is derived to synchronize two MLS chaotic systems. Meanwhile the uncertain parameters in response system are identified. The error systems are deduced by backstepping method. Numerical simulations are used to verify the effectiveness of the proposed controller.

Index Terms—modified Lorenz-Stenflo (MLS) chaotic system, synchronization control, sliding mode control, backstepping control

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Cite: Liang Shan, Zhong Liu, and Zhiquan Wang, " A New MLS Chaotic System and its Backstepping Sliding Mode Synchronization Control," Journal of Computers vol. 5, no. 3, pp. 456-463, 2010.

General Information

ISSN: 1796-203X
Abbreviated Title: J.Comput.
Frequency: Bimonthly
Editor-in-Chief: Prof. Liansheng Tan
Executive Editor: Ms. Nina Lee
Abstracting/ Indexing: DBLP, EBSCO,  ProQuest, INSPEC, ULRICH's Periodicals Directory, WorldCat,etc
E-mail: jcp@iap.org
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