| The open-plus-closed loop （OPCL） method for chaotic systems with multiple strange attractors |
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| 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, 2007, 16(7): 1918-1922. DOI: 10.1088/1009-1963/16/7/019 |
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| 作者姓名： | 宋运忠 |
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| 作者单位： | Complex Networks Laboratory, College of ElectricalEngineering and Automation,Henan Polytechnic University, Jiaozuo 454000, China |
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| 基金项目： | Project supported by theNational Natural Science Foundation of China (Grant No60374013), the Doctorate Foundation of Henan PolytechnicUniversity, China (Grant No 648606). |
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| 摘 要： | Based on the open-plus-closed-loop (OPCL) control method a systematicand comprehensive controller is presented in this paper for a chaoticsystem, that is, the Newton--Leipnik equation with two strangeattractors: the upper attractor (UA) and the lower attractor (LA).Results show that the final structure of the suggested controller forstabilization has a simple linear feedback form. To keep theintegrity of the suggested approach, the globality proof of thebasins of entrainment is also provided. In virtue of the OPCLtechnique, three different kinds of chaotic controls of the systemare investigated, separately: the original control forcing thechaotic motion to settle down to the origin from an arbitraryposition of the phase space; the chaotic intra-attractor control forstabilizing the equilibrium points only belonging to the upperchaotic attractor or the lower chaotic one; and the inter-attractorcontrol for compelling the chaotic oscillation from one basin toanother one. Both theoretical analysis and simulation results verifythe validity of the proposed means.
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| 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 |
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| Song Yun-Zhong. The open-plus-closed loop (OPCL) method for chaotic systems with multiple strange attractors[J]. Chinese Physics, 2007, 16(7): 1918-1922. DOI: 10.1088/1009-1963/16/7/019 |
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| Authors: | Song Yun-Zhong |
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| Affiliation: | Complex Networks Laboratory, College of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China |
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| Abstract: | Based on the open-plus-closed-loop (OPCL) control method a systematicand comprehensive controller is presented in this paper for a chaoticsystem, that is, the Newton--Leipnik equation with two strangeattractors: the upper attractor (UA) and the lower attractor (LA).Results show that the final structure of the suggested controller forstabilization has a simple linear feedback form. To keep theintegrity of the suggested approach, the globality proof of thebasins of entrainment is also provided. In virtue of the OPCLtechnique, three different kinds of chaotic controls of the systemare investigated, separately: the original control forcing thechaotic motion to settle down to the origin from an arbitraryposition of the phase space; the chaotic intra-attractor control forstabilizing the equilibrium points only belonging to the upperchaotic attractor or the lower chaotic one; and the inter-attractorcontrol for compelling the chaotic oscillation from one basin toanother one. Both theoretical analysis and simulation results verifythe validity of the proposed means. |
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| Keywords: | chaos OPCL control the Newton--Leipnik equation attractor |
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