东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (7): 917-920.DOI: -

• 论著 • 上一篇    下一篇

参数不确定统一混沌系统的脉冲控制

马铁东;张化光;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-07-15 发布日期:2013-06-24
  • 通讯作者: Ma, T.-D.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60325311605340106057207060521003);;

Impulsive control of unified chaotic system with parameter uncertainty

Ma, Tie-Dong (1); Zhang, Hua-Guang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-07-15 Published:2013-06-24
  • Contact: Ma, T.-D.
  • About author:-
  • Supported by:
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摘要： 针对一类参数不确定的统一混沌系统,提出一种脉冲控制方法.该方法采用系统状态变量的线性反馈作为脉冲控制信号,来实现统一混沌系统的全局渐近稳定,同时给出了统一混沌系统新的全局渐近稳定判据,并对其进行了扩展,与现有的研究结果相比,降低了全局渐近稳定条件的保守性.该方法所设计的控制器结构简单,易于实现,且响应速度快,可为保密通信与混沌载波信号扩展谱等应用提供坚实的理论基础,理论分析和仿真结果验证了方法的有效性.

关键词: 统一混沌系统, 脉冲控制, 参数不确定, Lyapunov函数, 全局渐近稳定

Abstract: An impulsive control scheme for a class of unified chaotic systems with parameter uncertainty is proposed using the linear state feedback as the signal to realize the global asymptotic stability. In addition, some new global asymptotic criteria and their extended forms are presented. Compared with the existing results, less conservative conditions are obtained to guarantee the global asymptotic stability. The controller thus designed is simple and easy to implement at high response speed and available to lay down a theoretical foundation for the applications in chaotic secure communication systems and chaotic spread spectrum of carrier communications. The effectiveness of the method proposed is verified theoretically and simulatively.

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