引用本文:涂建军,何汉林.一类新的时滞混沌系统及其最小能量引导控制[J].控制理论与应用,2010,27(10):1383~1387.[点击复制]
TU Jian-jun,HE Han-lin.A new type of time-delay chaotic systems and its minimal-energy guided control[J].Control Theory and Technology,2010,27(10):1383~1387.[点击复制]
一类新的时滞混沌系统及其最小能量引导控制
A new type of time-delay chaotic systems and its minimal-energy guided control
摘要点击 1798  全文点击 1129  投稿时间:2009-07-01  修订日期:2010-03-04
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DOI编号  10.7641/j.issn.1000-8152.2010.10.CCTA090859
  2010,27(10):1383-1387
中文关键词  混沌系统  时滞系统  异时滞  同步
英文关键词  chaotic system  time-delay system  unmatched time-delays  synchronization
基金项目  国家自然科学基金资助项目(60974136).
作者单位E-mail
涂建军* 海军工程大学 理学院 tujianjun1984@163.com 
何汉林 海军工程大学 理学院  
中文摘要
      提出了一类时滞混沌系统. 从最大Lyapunov指数、相图和分叉图3个方面, 揭示这类系统随其参数变化所产生的丰富动力学行为, 并发现了大幅度拟周期(弱混沌)振荡现象, 分析了这种振荡在工业中的危害以及可能的用途. 提出了异时滞的高维混沌系统间的同步控制问题, 并提出一种基于变增益反馈的最小能量控制法, 用线性反馈控制器实现了快速的引导控制. 因为反馈增益由一个小量随着同步误差的减小逐渐增大, 本文提出的控制器可以有效减小控制所需的能耗.
英文摘要
      A class of time-delay chaotic system is proposed. By altering its parameters, we can observe a variety of dynamical behaviors through its largest Lyapunov exponents, phase diagrams and bifurcation diagrams, and find a kind of violent quasi-periodic (weak chaotic) oscillatory motion. Its hazards and possible applications are analyzed. The problem of synchronization between two higher-order chaotic systems with unmatched time-delays is put forward. A varying gain feedback-based minimal-energy control method is presented to design a linear feedback controller, and a rapid guided control is realized. Because the feedback gain starts from a small value and gradually increases with the reduction of synchronization error, the energy consumption for control can be effectively reduced.