[1]张敏锐,王海军,颜森林.混沌系统的周期反馈控制与动态控制方法研究[J].南京师范大学学报(工程技术版),2004,04(04):016-19.
　ZHANG Minrui,WANG Haijun,YAN Senlin.Studies on Period-feedback and Dynamic Controls of Chaotic Systems[J].Journal of Nanjing Normal University(Engineering and Technology),2004,04(04):016-19.
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混沌系统的周期反馈控制与动态控制方法研究
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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
04卷
期数:
2004年04期
页码:
016-19
栏目:
出版日期:
2004-12-30

文章信息/Info

Title:
Studies on Period-feedback and Dynamic Controls of Chaotic Systems
作者:
张敏锐; 王海军; 颜森林
南京晓庄学院物理系, 江苏南京210017
Author(s):
ZHANG Minrui; WANG Haijun; YAN Senlin
Department of Physics, Nanjing Xiaozhuang College, Nanjing 210017, China
关键词:
混沌;  平衡态;  极限环;  控制
Keywords:
chaos;  equilibrium state;  limit cycle;  control
分类号:
TP273.5
摘要:
分析Lorenz系统的非线性动力学行为的稳定特性 ,提出一个强度周期反馈控制器 ,采用周期反馈控制方法对Lorenz系统的混沌行为进行了控制 ,并对混沌控制过程进行了理论分析与数值仿真 ,该方法能把Lorenz混沌系统控制到某一平衡态或某一周期态上 .通过实时改变控制参数 ,研究了几个典型物理状态变化现象 ,丰富了Lorenz混沌系统的应用方法 .
Abstract:
The nonlinear dynamics characteristics and stability of the Lorenz system are analyzed by adopting nonlinear control theory. A method for designing the strength- period- feedback controller is put forward. The chaotic behaviors of the Lorenz system are controlled by chaotic control methods which are called period feedback control. Theories of these methods are analyzed and simulated numerically. By using the method, the chaotic systems can be controlled in some equilibrium states or some v-i brational cyclical states. With the change of control parameters, the typical var iation of physical state is studied to expand the applications of Lorenz chaotic systems.

参考文献/References:

[ 1] Hao B L. Chaos Ò [M] . Singapore: World Scientific, 1990.
[ 2] Gonzalez J, Femat R, Alvarez-Ramirez J, et al . A Discrete Approach to the Control and Synchronization of a Class of Chaotic Oscillators[ J] . IEEE Trans On Circuits And Syst I, 1999, 46: 1139- 1144.
[ 3] Ott E, Grebogi C, Yorke J A. Controlling Chaos[ J] . Phys Rev Lett, 1990, 64: 1196- 1199.
[ 4] 颜森林, 伍仕宝, 逄焕刚, 等. 混沌系统的注入反馈控制与动态控制方法研究[ J] . 物理学报, 2001, 50( 3) : 428- 434.
[ 5] Lorenz E N. Deterministic Non- per iodic Flow [ J] . J Atmos Sci, 1963, 20: 130- 141.

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备注/Memo

备注/Memo:
作者简介: 张敏锐( 1957- ) , 女, 实验师, 主要从事普通物理和近代物理实验的教学与研究. E-mail: doremi00000@ 163. Tom
更新日期/Last Update: 2013-04-29