| The open-plus-closed loop （OPCL） method for chaotic systems with multiple strange attractors |
| |
| 引用本文： | 宋运忠.The open-plus-closed loop （OPCL） method for chaotic systems with multiple strange attractors[J].中国物理 B,2007,16(7):1918-1922. |
| |
| 作者姓名： | 宋运忠 |
| |
| 作者单位： | Complex Networks Laboratory, College of Electrical
Engineering and Automation,
Henan Polytechnic University, Jiaozuo 454000, China |
| |
| 基金项目： | Project supported by the
National Natural Science Foundation of China (Grant No
60374013), the Doctorate Foundation of Henan Polytechnic
University, China (Grant No 648606). |
| |
| 摘 要： | Based on the open-plus-closed-loop (OPCL) control method a systematic
and comprehensive controller is presented in this paper for a chaotic
system, that is, the Newton--Leipnik equation with two strange
attractors: the upper attractor (UA) and the lower attractor (LA).
Results show that the final structure of the suggested controller for
stabilization has a simple linear feedback form. To keep the
integrity of the suggested approach, the globality proof of the
basins of entrainment is also provided. In virtue of the OPCL
technique, three different kinds of chaotic controls of the system
are investigated, separately: the original control forcing the
chaotic motion to settle down to the origin from an arbitrary
position of the phase space; the chaotic intra-attractor control for
stabilizing the equilibrium points only belonging to the upper
chaotic attractor or the lower chaotic one; and the inter-attractor
control for compelling the chaotic oscillation from one basin to
another one. Both theoretical analysis and simulation results verify
the validity of the proposed means.
|
| 关 键 词： | 混沌系统 方程式 吸引子 倍数 |
| 收稿时间： | 2006-10-15 |
| 修稿时间： | 2006-10-152007-01-31 |
The open-plus-closed loop (OPCL) method for chaotic systems with multiple strange attractors |
| |
| Song Yun-Zhong.The open-plus-closed loop (OPCL) method for chaotic systems with multiple strange attractors[J].Chinese Physics B,2007,16(7):1918-1922. |
| |
| Authors: | Song Yun-Zhong |
| |
| Institution: | Complex Networks Laboratory, College of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China |
| |
| Abstract: | Based on the open-plus-closed-loop (OPCL) control method a systematic
and comprehensive controller is presented in this paper for a chaotic
system, that is, the Newton--Leipnik equation with two strange
attractors: the upper attractor (UA) and the lower attractor (LA).
Results show that the final structure of the suggested controller for
stabilization has a simple linear feedback form. To keep the
integrity of the suggested approach, the globality proof of the
basins of entrainment is also provided. In virtue of the OPCL
technique, three different kinds of chaotic controls of the system
are investigated, separately: the original control forcing the
chaotic motion to settle down to the origin from an arbitrary
position of the phase space; the chaotic intra-attractor control for
stabilizing the equilibrium points only belonging to the upper
chaotic attractor or the lower chaotic one; and the inter-attractor
control for compelling the chaotic oscillation from one basin to
another one. Both theoretical analysis and simulation results verify
the validity of the proposed means. |
| |
| Keywords: | chaos OPCL control the Newton--Leipnik equation attractor |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
