| Chaotic attractor transforming control of hybrid Lorenz-Chen system |
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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 National
Natural Science Foundation of China (Grant No 60702023) and Natural
Science 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： | 4/5/2007 12:00:00 AM |
| 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 and Gu Hong |
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| Institution: | College of Electrical Engineering, Zhejiang University,
Hangzhou 310027, China |
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| Abstract: | 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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| Keywords: | hybrid Lorenz--Chen system chaotic attractor transforming control |
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