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Front. Inform. Technol. Electron. Eng.  2014, Vol. 15 Issue (3): 211-222    DOI: 10.1631/jzus.C1300266
    
Robust synchronization of chaotic systems using sliding mode and feedback control
Li-li Li, Ying Liu, Qi-guo Yao
School of Naval Architecture and Ocean Engineering, Zhejiang Ocean University, Zhoushan 316000, China; Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027, China
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Abstract  We propose a robust scheme to achieve the synchronization of chaotic systems with modeling mismatches and parametric variations. The proposed algorithm combines high-order sliding mode and feedback control. The sliding mode is used to estimate the synchronization error between the master and the slave as well as its time derivatives, while feedback control is used to drive the slave track the master. The stability of the proposed design is proved theoretically, and its performance is verified by some numerical simulations. Compared with some existing synchronization algorithms, the proposed algorithm shows faster convergence and stronger robustness to system uncertainties.

Key words： Chaos synchronization      Sliding mode      Feedback control     
Received: 21 September 2013      Published: 05 March 2014
CLC:  TP273  
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Li-li Li
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Cite this article:

Li-li Li, Ying Liu, Qi-guo Yao. Robust synchronization of chaotic systems using sliding mode and feedback control. Front. Inform. Technol. Electron. Eng., 2014, 15(3): 211-222.

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http://www.zjujournals.com/xueshu/fitee/10.1631/jzus.C1300266     OR     http://www.zjujournals.com/xueshu/fitee/Y2014/V15/I3/211


基于滑模和反馈控制的鲁棒混沌系统同步

研究目的：混沌同步是近年非线性系统研究热点，在许多方面具有重要应用。实际系统往往存在一定的不确定性，如系统模型以及系统参数的不匹配性等，严重影响了同步性能。本文提出一种鲁棒混沌同步方法，以实现带有一定不确定性的混沌系统的同步。
创新要点：将高阶滑模控制和反馈控制有效结合，设计了一种鲁棒的混沌同步控制策略。
方法提亮：该方法综合了滑模控制和反馈控制两方面优势，具有鲁棒性强、抗系统模型以及参数不匹配性好、收敛速度快、同步误差小的特点，因而特别适用于实际工程系统。
重要结论：理论分析证明了该方法的稳定性。通过和已有方法比较，数值仿真实验进一步验证了该方法的有效性。

关键词： 混沌同步,  滑模控制,  反馈控制 
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