[1]孙娜燕,郝建红.用改良单反馈法实现损耗型变形耦合发电机系统的混沌控制[J].华侨大学学报(自然科学版),2012,33(5):484-489.[doi:10.11830/ISSN.1000-5013.2012.05.0484]
　SUN Na-yan,HAO Jian-hong.Controlling Chaos on a Loss Type of Modified Coupled Dynamos System by the Improved Linear Feedback Method[J].Journal of Huaqiao University(Natural Science),2012,33(5):484-489.[doi:10.11830/ISSN.1000-5013.2012.05.0484]
点击复制

用改良单反馈法实现损耗型变形耦合发电机系统的混沌控制()
分享到：

《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第33卷
期数:
2012年第5期
页码:
484-489
栏目:
出版日期:
2012-09-20

文章信息/Info

Title:
Controlling Chaos on a Loss Type of Modified Coupled Dynamos System by the Improved Linear Feedback Method
文章编号:
1000-5013(2012)05-0484-06
作者:
孙娜燕;  郝建红
华北电力大学 电气与电子工程学院, 北京 102206
Author(s):
SUN Na-yan;  HAO Jian-hong
Electrical and Electronic Engineering, North China Electric Power University, Beijing 102206, China
关键词:
机械阻尼损耗;  耦合发电机系统;  线性反馈法;  混沌控制
Keywords:
mechanical damping loss;  coupled dynamos system;  linear feedback method;  chaos control
分类号:
TM310.12;O415.5
DOI:
10.11830/ISSN.1000-5013.2012.05.0484
文献标志码:
A
摘要:
采用常规线性反馈法对一个考虑机械阻尼损耗的耦合发电机系统实施混沌控制,从操作性强、利于实现和降低控制功率等方面考虑,提出一种改良线性反馈法.即仅当运动轨道接近控制目标时才实施控制,最大限度地维持系统动力学特性不变.此方法具有滑模控制作用,可以调整极限环半径等系统性态.基于Lyapunov指数和Routh-Hurwitz判据,讨论受控系统的混沌轨道达到不稳平衡点或极限环的条件,给出理论上的证明.最后,通过数值模拟验证方法的有效性.
Abstract:
The linear feedback method is adopted to implement chaos control for the coupled dynamos system which considered mechanical damping loss. An improved method is proposed, and the method is easy to operate, easy to implement and has low control power. It is only when the trajectory is close to the controlled objectives, the system is controlled. It can furthest maintain the dynamic characteristics of the system. This method has sliding mode control action which can adjust system state such as the limit ring radius. Based on the Lyapunov exponent and Routh-Hurwitz criterion, the conditions of the controlled system to steady equilibrium points and limit cycle are discussed. They are proved theoretically. The validity of this method has been verified by numerical simulations.

参考文献/References:

[1] OTT E,GREBOGI G,YORKE J.Controlling chaos[J].Phys Rev Lett,1990,64:1196-1199.
[2] 李晓颖,陈至坤,宋雪梅.混沌控制方法综述[J].中国科技信息,2009(7):41-42.
[3] AGIZA H N.Chaos synchronization of two coupled dynamos systems with unknown system parameters[J].Int J Modern Phys C,2004,15(6):873-883.
[4] AGIZA H N.Controlling chaos for the dynamical system of coupled dynamos[J].Chaos Solitons& Fractals,2002,13(2):341-352.
[5] CHEN Mao-yin,HAN Zheng-zhi.Controlling and synchronizing chaotic Genesio system via nonlinear feedback control[J].Chaos, Solitons & Fractals,2003,17(4):709-716.
[6] 王兴元,武相军.变形耦合发电机系统中的混沌控制[J].物理学报,2006,55(10):5083-5094.
[7] XANG Xing-yuan,WU Xiang-jun.Chaos control of a modified coupled dynamos system[J].Phys Rev Lett,1995,52:3558.
[8] WU Shu-hua,HAO Jian-hong,XU Hai-bo.Controlling chaos to unstable periodic orbit and equilibrium stable solutions for the coupled dynamos system[J].Chin Phys B,2010,19(2):149-156.
[9] 刘秉正,彭建华.非线性动力学[M].北京:高等教育出版社,2001.

备注/Memo

备注/Memo:
收稿日期: 2012-02-12
通信作者: 郝建红(1960-),女,教授,主要从事非线性动力学的研究.E-mail:jianhonghao@ncepu.edu.cn.
基金项目: 国家自然科学基金资助项目(10775018); 华北电力大学博士科研基金和国际科技合作项目 (2011DFR00780)
更新日期/Last Update: 2012-09-20