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一个新混沌系统的自适应模糊同步

任丽梅 刘建民 贾双盈

计算机工程与科学2012,Vol.34Issue(7):146-149,4.
计算机工程与科学2012,Vol.34Issue(7):146-149,4.DOI:10.3969/j.issn.1007-130X.2012.07.027

一个新混沌系统的自适应模糊同步

The Adaptive Fuzzy Synchronization Method for a New Chaotic System

任丽梅 1刘建民 1贾双盈1

作者信息

  • 1. 长安大学理学院,陕西西安710064
  • 折叠

摘要

Abstract

Based on the Takagi-Sugeno (T-S) fuzzy model, an adaptive approach for the synchronization of new chaotic systems, with unknown parameters, is studied. A T-S fuzzy dynamical model is employed to reconstruct the chaotic drive and response systems. The sufficient conditions of global asymptotic stability, by giving the definition of decay rate a , are deduced from two reconstructed chaotic systems, of which the structures are the same. Meanwhile, since the parameters of the drive system are assumed unknown, we design the response system that estimate the parameters of the drive system by an adaptive strategy. In addition, since the designed fuzzy controllers are composed of linear functions, with few rules and simple structures, it is easy to construct such controllers in actual applications. Satisfied numerical simulations show the effectiveness and validity of the adaptive fuzzy synchronization method proposed in this paper.

关键词

T-S模型/模糊控制/自适应同步/Lyapunov稳定性

Key words

T-S model/fuzzy control/adaptive synchronization/Lyapunov stability theory

分类

数理科学

引用本文复制引用

任丽梅,刘建民,贾双盈..一个新混沌系统的自适应模糊同步[J].计算机工程与科学,2012,34(7):146-149,4.

基金项目

国家自然科学基金资助项目(10872165,10932009) (10872165,10932009)

计算机工程与科学

OA北大核心CSCDCSTPCD

1007-130X

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