一个过渡混沌吸引子的单参数采样数据反馈控制

陆君安; 谢进; 吕金虎; 陈士华

一个过渡混沌吸引子的单参数采样数据反馈控制

1.
武汉大学, 数学与统计学院, 武汉, 430072;
2.
中国科学院, 数学与系统科学研究院, 系统科学研究所, 北京, 100080

基金项目: 国家自然科学基金资助项目(50209012);中国博士后科学基金资助项目(32批);中国科学院王宽诚博士后科学基金资助项目

详细信息

作者简介:
陆君安(1945- ),男,浙江宁波人,教授,博士生导师(E-mail:jalu@wuhee.edu.cn).

中图分类号: O545;O231
计量
- 文章访问数: 2238
- HTML全文浏览量: 70
- PDF下载量: 580
- 被引次数: 0
出版历程
- 收稿日期: 2001-08-13
- 修回日期: 2003-07-19
- 刊出日期: 2003-11-15

Control Chaos in Transition System Using Sampled-Data Feedback

1.
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China;
2.
Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China

摘要

摘要: 针对最新提出的一个过渡混沌吸引子,提出了一种单参数采样数据反馈控制器.首先,用给定的频率采样,得到过渡混沌系统的采样输出.然后,用这个采样输出作为控制信号,通过一个反馈子系统将这个过渡混沌系统控制到原点.数值试验表明,这种反馈控制具有简单易于操作的特点.
- 采样数据反馈 /
- 过渡混沌系统 /
- 控制
Abstract: The method for controlling chaotic transition system was investigatede using sampled data. The output of chaotic transition system was sampled at a given sampling rate, then the sampled output was used by a feedbacks ubsystem to cosntruct a control signal for controlling chaotic transition system to the origin. Numerical simulations are presented to show the effectiveness and feasibility of the developed controller.
- sampled-data feedback /
- transition system /
- control

HTML全文

参考文献(22)

[1]	Chen G,Dong X.From Chaos to Order:Perspectives,Methodologies and Applications[M].Singapore:World Scientific Press,1998.
[2]	吕金虎,陆君安,陈士华.混沌时间序列分析及其应用[M].武汉:武汉大学出版社,2002.
[3]	陈士华,陆君安.混沌动力系统初步[M].武汉:武汉水利电力大学出版社,1998.
[4]	Ott E,Grebogi C,Yorke J A.Controlling chaos[J].Phys Rev Lett,1990,64(11):1196-1199.
[5]	Fuh C C,Tung P C.Controlling chaos using differential geometric method[J].Phys Rev Left,1995,75(16):2952-2955.
[6]	Sanchez E N,Perez J P,Martinez M,et al.Chaosstabilization:an inverse optimal control approach[J].Latin Amer Appl Res,2002,32(1):111-114.
[7]	LU Jin-hu,ZHANG Suo-chun.Controlling Chen's chaotic attractor using backstepping design based on parameters identification[J].Phys Left A,2001,286(2/3):148-152.
[8]	LU Jin-hu,ZHOU Tian-shou,ZHANG Suo-chun.Controlling Chen's chaotic attractor using feedback function based on parameters identification[J].Chinese Physics,2002,11(1):12-16.
[9]	Yang T,Chua L O.Control of chaos using sampled-data feedback control[J].Int J Bifurcation and Chaos,1998,8(12):2433-2438.
[10]	GuoSM,ShiehLS,ChenG,et al.Ordering chaos in Chua'scircuit:a sampled data feedback and digital redesign approach[J].Int J Bifurcation and Chaos,2000,10(9):2221-2231.
[11]	YANG Ling,LIU Zeng-rong,MAO Jian-min.Controlling hyperchaos[J].Phys Rev Lett,2000,84(1):67-70.
[12]	MAO Jian-min,LIU Zeng-rong,YANG Ling.Straight-line stabilization[J].Phys Rev E,2000,62(4):4846-4849.
[13]	杨凌,刘曾荣.OGY方法的改进和证明[J].应用数学和力学,1998,19(1):1-9.
[14]	Lorenz E N.Deterministic non-periodic flows[J].JAtmos Sci,1963,20(1):130-141.
[15]	Stewart I.The Lorenz attractor exists[J].Nature,2000,406(6799):948-949.
[16]	ChenG,UetaT.Yetanotherchaoticattractor[J].Int JBifurcation and Chaos,1999,9(7):1465-1466.
[17]	VanecekA,Celikovsky S.Control Systems:From Linear Analysis to Synthesis of Chaos[M].London:Prentice-Hall,1996.
[18]	LU Jin-hu,CHEN Guan-rong.A new chaotic attractor coined[J].Int J Bifurcation and Chaos,2002,12(3):659-661.
[19]	LUJin-hu,CHEN Guan-rong,ZHANG Suo-chun.Dynamical analysis of a new chaotic attractor[J].Int J Bifurcation and Chaos,2002,12(5):1001-1015.
[20]	周志明.一个新的混沌反控制模型——Lu系统[J].咸宁师专学报,2002,22(3):19-21.
[21]	LU Jin-hu,CHEN Guan-rong,CHENG Dai-zhan,et al.Bridge the gap between the Lorenz system and the Chen system[J].Int J Bifurcation and Chaos,2002,12(12):2917-2926.
[22]	Wilkinson J.The Algebraic Eigenvalue Problem[M].Oxford:Clarendon Press,1965.