东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (1): 5-9.DOI: -

• 论著 • 上一篇    下一篇

基于T-S模糊模型时滞混沌系统的广义投影同步

陈兆娜;马驰;赵文冬;符勇;   

  1. 东北大学信息科学与工程学院;沈阳铝镁设计研究院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(62074009);;

Generalized projective synchronization based on T-S fuzzy model for time-delaying chaotic systems

Chen, Zhao-Na (1); Ma, Chi (2); Zhao, Wen-Dong (2); Fu, Yong (2)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China; (2) Shenyang Aluminum and Magnesium Engineering and Research Institute, Shenyang 110001, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Chen, Z.-N.
  • About author:-
  • Supported by:
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摘要： 针对混沌系统的广义投影同步问题,基于Takagi-Sugeno(T-S)模糊模型,给出了一种模糊观测器.利用线性矩阵不等式把混沌系统的广义投影同步问题视为模糊状态观测器设计问题,利用Lyapunov稳定性理论证明了所提方案的可行性和全局稳定性.通过改变广义投影同步的比例因子,获得任意比例于原驱动混沌系统输出的混沌信号.数值仿真试验进一步验证了该方案可以实现Lorenz混沌系统的投影同步.方法设计简单,且可以推广到其他的一些混沌系统.

关键词: T-S模糊模型, 线性矩阵不等式, 混沌系统, 广义投影同步, 模糊状态观测器

Abstract: Based on the Tagaki-Sugeno (T-S) fuzzy model, a control scheme of the generalized projective synchronization was proposed for chaotic systems, with a new fuzzy-state observer designed in terms of linear matrix inequalities. Thus, the generalized projective synchronization of chaotic systems was regarded as the design of a fuzzy-state observer. According to the Lyapunov stability theory, it was verified that the proposed scheme is feasible and globally stable. Changing the scale factor of generalized projective synchronization, the chaotic signal output in any proportion to the chaotic primary driving system is obtained. The numerical simulation results verified further that the proposed scheme is available to implement the projective synchronization of the Lorenz chaotic system. The scheme is simple in design and available to be extended to other chaotic systems.

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