| 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] |
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| 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 1687 全文点击 1078 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). |
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| 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. |