| Chaotic attractor transforming control of hybrid Lorenz-Chen system |
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| 引用本文： | 齐冬莲,王乔,顾弘. Chaotic attractor transforming control of hybrid Lorenz-Chen system[J]. 中国物理 B, 2008, 17(3): 847-851 |
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| 作者姓名： | 齐冬莲 王乔 顾弘 |
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| 作者单位： | College of Electrical Engineering, Zhejiang University,Hangzhou 310027, China;College of Electrical Engineering, Zhejiang University,Hangzhou 310027, China;College of Electrical Engineering, Zhejiang University,Hangzhou 310027, China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant No 60702023) and NaturalScience Foundation of Zhejiang Province, China (Grant No Y104414). |
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| 摘 要： | Based on passive theory, this paper studies a hybrid chaotic dynamical system from the mathematics perspective to implement the control of system stabilization. According to the Jacobian matrix of the nonlinear system, the stabilization control region is gotten. The controller is designed to stabilize fast the minimum phase Lorenz-Chen chaotic system after equivalently transforming from chaotic system to passive system. The simulation results show that the system not only can be controlled at the different equilibria, but also can be transformed between the different chaotic attractors.
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| 关 键 词： | 混沌吸引子 转化控制 动态仿真 混沌控制 |
| 收稿时间： | 2007-04-05 |
| 修稿时间： | 2007-08-17 |
Chaotic attractor transforming control of hybrid Lorenz--Chen system |
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| Qi Dong-Lian,Wang Qiao and Gu Hong. Chaotic attractor transforming control of hybrid Lorenz--Chen system[J]. Chinese Physics B, 2008, 17(3): 847-851 |
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| Authors: | Qi Dong-Lian Wang Qiao Gu Hong |
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| Affiliation: | College of Electrical Engineering, Zhejiang University,Hangzhou 310027, China |
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| Abstract: | Based on passive theory, this paper studies a hybrid chaoticdynamical system from the mathematics perspective to implement thecontrol of system stabilization. According to the Jacobian matrix ofthe nonlinear system, the stabilization control region is gotten.The controller is designed to stabilize fast the minimum phaseLorenz--Chen chaotic system after equivalently transforming fromchaotic system to passive system. The simulation results show thatthe system not only can be controlled at the different equilibria,but also can be transformed between the different chaoticattractors. |
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| Keywords: | hybrid Lorenz--Chen system chaotic attractor transforming control |
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