| 一类混沌系统的最优控制设计 |
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| 引用本文： | 章婷芳,姚洪兴,耿霞.一类混沌系统的最优控制设计[J].华东船舶工业学院学报,2005,19(5):44-48. |
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| 作者姓名： | 章婷芳 姚洪兴 耿霞 |
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| 作者单位： | [1]江苏科技大学数理学院,江苏镇江212003 [2]江苏大学系统工程研究所,江苏镇江212013 [3]江苏大学计算机科学与通信工程学院,江苏镇江212013 |
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| 基金项目： | 国家博士后基金（2003033498）;省教育厅基金（03KJD1l0070和03SJB630002）;江苏大学基金（02JDQ0l4和03JDQ020） |
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| 摘 要： | 针对一类混沌动力系统，提出了一种最优控制方法，将混沌系统控制到任意所期望的定点。基于动态规划方法，将构建最优控制器问题归结为与偏微分方程有关的解的问题。以Chua电路系统和Horton混沌系统为例，详细阐述了最优控制器的设计过程，Matlab的数值仿真证明了所给方法的有效性。
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| 关 键 词： | 混沌 最优控制 Chua系统 Horton系统 Hamilton—Jaeobi—Bellman方程 |
| 文章编号： | 1006-1088（2005）05-0044-05 |
| 收稿时间： | 2005-03-01 |
Optimal Control Design for a Kind of Chaotic System |
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| ZHANG Ting-fang , YAO Hong-zing , GENG Xia.Optimal Control Design for a Kind of Chaotic System[J].Journal of East China Shipbuilding Institute(Natural Science Edition),2005,19(5):44-48. |
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| Authors: | ZHANG Ting-fang YAO Hong-zing GENG Xia |
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| Institution: | School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang Jiangsu 212003, 2. Institute of Mathematics and System Science. Jiangsu University, Zhenjiang Jiangsu 212013, China; College of Computer and Communication Engineering. Jiangsu University, Zhenjiang Jiangsu 212013,China |
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| Abstract: | An optimal control strategy aimed at a kind of chaotic motion is proposed which can control the system to any desired fixed point. The chaos control problem is formulated as a nonlinear optimal control problem which can be reduced to a solution of associated Hamilton-Jacobi-Bellman equation. Chua chaotic system and Horton chaotic system are treated as examples. The simulation results verify the effectiveness of the method by Matlab. |
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| Keywords: | chaos optimal control Chua system Horton system Hamilton-Jacobi-Bellman equation |
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