新型Liu混沌系统的模糊反馈同步方法

单梁; 张刚; 李军; 王执铨

doi:10.3724/SP.J.1146.2006.00310

新型Liu混沌系统的模糊反馈同步方法

doi: 10.3724/SP.J.1146.2006.00310

基金项目:

江苏省自然科学基金(BK2004132)和江苏省科技厅青年创新基金(BK2004421)资助课题

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出版历程
- 收稿日期: 2006-03-17
- 修回日期: 2006-08-14
- 刊出日期: 2007-10-19

Fuzzy Feedback Synchronization Method of a New Liu Chaotic System

摘要

摘要: 论文研究了新近提出的Liu混沌系统(2004)的模糊反馈同步方法。Liu混沌系统结构不同于以往的连续混沌系统，本文基于T-S(Takagi-Sugeno)模糊模型重构了Liu混沌系统；然后用Lyapunov理论和反馈同步的思想推导了两个重构的Liu系统同步的稳定性条件，并给出了误差系统以衰减率全局渐近稳定的充分条件；最后基于LMI方法进行了仿真实验。良好的仿真结果验证了本文算法的有效性和快速性。
- Liu混沌系统;混沌同步;反馈控制;T-S模型;模糊控制
Abstract: In this paper a newly-proposed Liu chaotic system(2004) is synchronized by using fuzzy feedback method. The structure of Liu chaotic system is different from other linear chaotic systems. Firstly based on T-S(Takagi-Sugeno) fuzzy model, Liu chaotic system is reconstructed. Secondly, using Lyapunov theory and feedback synchronization concept, the stability synchronization conditions of two reconstructed Liu systems are deduced. Moreover to the error system with the decay rate , sufficient conditions of global asymptotic stability are given. Finally, satisfied simulation results based on Llinear Mmatrix Iinequality (LMI) method show the effectiveness and quickness of fuzzy feedback method proposed in this paper.

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参考文献(1)

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