用精确线性化控制Lorenz混沌<sup>*</sup>

陈立群; 刘延柱

用精确线性化控制Lorenz混沌^*

上海交通大学工程力学系, 上海 200030

基金项目: * 国家教委博士点科研基金;冶金工业部应用基础科学研究基金

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出版历程
- 收稿日期: 1996-05-13
- 修回日期: 1997-05-21
- 刊出日期: 1998-01-15

Control of the Lorenz Chaos by the Exact Linearization

Department of Engineering Mechanics Shanghai Jiaotong University, Shanghai 200030, P. R. China

摘要

摘要: 本文采用状态空间精确线性化方法研究Rayleigh数可控的Lorenz系统中混沌的控制问题.在证明系统可以精确线性化的基础上,借助非线性反馈构造出变换关系使原系统转化为线性可控系统而实现控制,并给出了控制算例.
- Rayleigh数 /
- Loreng系统 /
- 混沌
Abstract: Controlling chaos in the Lorenz system with a controllable Rayleigh number is investigated by the sate space exact linearization method. Based on proving the exact linearizability, the nonlinear feedback is utilized to design the transformation changing the original chaotic system into a linear controllable one so that the control is realized. A numerical example of control is prsented.
- Rayleigh number /
- Lorenz system /
- chaos

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参考文献(25)

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