Search Advanced
2007 Volume 16 Issue 7
Article Contents
Previous Article Next Article

Song Yun-Zhong. 2007: The open-plus-closed loop (OPCL) method for chaotic systems with multiple strange attractors, Chinese Physics B, 16(7): 1918-1922.
Citation: Song Yun-Zhong. 2007: The open-plus-closed loop (OPCL) method for chaotic systems with multiple strange attractors, Chinese Physics B, 16(7): 1918-1922.
shu

The open-plus-closed loop (OPCL) method for chaotic systems with multiple strange attractors

  • Complex Networks Laboratory, College of Electrical Engineering and Automation,Henan Polytechnic University, Jiaozuo 454000, China

  • Corresponding author: Song Yun-Zhong
  • Available Online: 30/07/2007
  • Fund Project: the National Natural Science Foundation of China(Grant 60374013)%the Doctorate Foundation of Henan Polytechnic University, China(Grant 648606)
  • 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.
  • 加载中
  • 加载中
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Export Citation
PDF
XML

Article Metrics

Article views(64) PDF downloads(0) Cited by(0)

Access History

The open-plus-closed loop (OPCL) method for chaotic systems with multiple strange attractors

    Corresponding author: Song Yun-Zhong
  • Available Online: 30/07/2007

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.

    HTML

Reference (0)

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return