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Synchronization of perturbed chaotic systems via nonlinear control
  • ISSN号：2095-2899
  • 期刊名称：JOURNAL OF CENTRAL SOUTH UNIVERSITY
  • 时间：2012.10.10
  • 页码：2803-2809
  • 分类：O415.5[理学—理论物理;理学—物理] TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]School of Information Science and Engineering, Central South University, Changsha 410075, China
  • 相关基金：Projects（61075065, 60774045, U1134108） supported by the National Natural Science Foundation of China; Project（20110162110041） supported by the Ph.D Programs Foundation of Ministry of Education of China; Project（CX201 IB086） supported by Hunan Provincial Innovation Foundation For Postgraduate, China
  • 相关项目：高速列车（动车）多电机牵引系统的网络化控制
作者： Guo Ling|Nian Xiao-hong|Pan Huan|
关键词： 非线性控制, 混沌系统, 扰动系统, 混沌同步, LYAPUNOV稳定性定理, LORENZ系统, 控制方案, 稳定性理论, chaotic system, synchronization, perturbations, nonlinear control scheme, linear feedback scheme
中文摘要：

Chaos synchronization of systems with perturbations was investigated.A generic nonlinear control scheme to realize chaos synchronization of systems was proposed.This control scheme is flexible and practicable,and gives more freedom in designing controllers in order to achieve some desired performance.With the aid of Lyapunov stability theorem and partial stability theory,two cases were presented:1) Chaos synchronization of the system without perturbation or with vanishing perturbations;2) The boundness of the error state for the system with nonvanishing perturbations satisfying some conditions.Finally,several simulations for Lorenz system were provided to verify the effectiveness and feasibility of our method.Compared numerically with the existing results of linear feedback control scheme,the results are sharper than the existing ones.

英文摘要：

Chaos synchronization of systems with perturbations was investigated. A generic nonlinear control scheme to realize chaos synchronization of systems was proposed. This control scheme is flexible and practicable, and gives more freedom in designing controllers in order to achieve some desired performance. With the aid of Lyapunov stability theorem and partial stability theory, two cases were presented： 1） Chaos synchronization of the system without perturbation or with vanishing perturbations; 2） The boundness of the error state for the system with nonvanishing perturbations satisfying some conditions. Finally, several simulations for Lorenz system were provided to verify the effectiveness and feasibility of our method. Compared numerically with the existing results of linear feedback control scheme, the results are sharper than the existing ones.

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期刊信息
  • 《中南大学学报：英文版》
  • 主管单位:教育部
  • 主办单位:中南大学
  • 主编：黄伯云
  • 地址：湖南长沙中南大学校本部
  • 邮编：410083
  • 邮箱：jcsu@csu.edu.cn
  • 电话：0731-88836963
  • 国际标准刊号：ISSN：2095-2899
  • 国内统一刊号：ISSN：43-1516/TB
  • 邮发代号:42-316
  • 获奖情况:
  • 2006、2008、2010“中国高校精品科技期刊”2009...
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  • 被引量:334