| 一类新的时滞混沌系统及其最小能量引导控制 |
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| 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 |
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| 作者姓名： | 涂建军 何汉林 |
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| 作者单位： | 海军工程大学,理学院,湖北,武汉430033 |
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| 基金项目： | 国家自然科学基金资助项目(60974136). |
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| 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.
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| 关 键 词： | 混沌系统 时滞系统 异时滞 同步 |
| 收稿时间： | 2009-07-01 |
| 修稿时间： | 2010-03-04 |
A new type of time-delay chaotic systems and its minimal-energy guided control |
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| TU Jian-jun and HE Han-lin. A new type of time-delay chaotic systems and its minimal-energy guided control[J]. Control Theory & Applications, 2010, 27(10): 1383-1387 |
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| Authors: | TU Jian-jun and HE Han-lin |
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| Affiliation: | College of Science, Naval University of Engineering,College of Science, Naval University of Engineering |
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| Abstract: | 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. |
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| Keywords: | chaotic system time-delay system unmatched time-delays synchronization |
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