| 一类离心调速器的稳定性及混沌控制 |
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| 引用本文： | 常迎香,褚衍东,张建刚. 一类离心调速器的稳定性及混沌控制[J]. 兰州理工大学学报, 2005, 31(2): 144-148 |
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| 作者姓名： | 常迎香 褚衍东 张建刚 |
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| 作者单位： | 兰州交通大学,数理与软件工程学院,甘肃,兰州,730070;兰州交通大学,数理与软件工程学院,甘肃,兰州,730070;兰州交通大学,数理与软件工程学院,甘肃,兰州,730070 |
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| 基金项目： | 国家自然科学基金(10172042，50475109)，甘肃省自然科学基金(ZS 011 A25 010 Z，ZS 031 A25 007) |
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| 摘 要： | 研究了一类受外部扰动的离心调速器系统的动力学行为.通过力学分析,建立了离心调速器系统的动力学方程,应用李雅普诺夫直接方法得到该系统稳定平衡点的条件.利用数值结果、相图和李雅普诺夫指数分析了系统的周期和混沌运动.用5种方法实现了系统的混沌控制,将系统的混沌行为有效地控制到稳定的周期轨道.
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| 关 键 词： | 调速器 李雅普诺夫指数 混沌 混沌控制 周期运动 相图 |
| 文章编号： | 1000-5889(2005)02-0144-05 |
| 修稿时间： | 2004-09-29 |
Stability and chaos controlling of class of centrifugal flywheel governor |
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| CHANG Ying-xiang,CHU Yan-dong,ZHANG Jian-gang. Stability and chaos controlling of class of centrifugal flywheel governor[J]. Journal of Lanzhou University of Technology, 2005, 31(2): 144-148 |
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| Authors: | CHANG Ying-xiang CHU Yan-dong ZHANG Jian-gang |
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| Abstract: | Dynamic behavior of centrifugal flywheel governor system subjected to external disturbance was studied.By using mechanical analysis,the dynamic equation of the system was established,the Lyapunov direct method was applied to obtain stability conditions of system equilibrium points.By applying numerical computation,phase diagram,and Lyapunov exponents,the period and chaos motions of the system were analyzed.Five methods were used to implement chaotic control of the system,and the chaotic behavior of the system was effectively controlled to fall onto the steady periodic orbit. |
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| Keywords: | flywheel governor Lyapunov exponents chaos chaos controlling periodic motion phase diagram |
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