| Lü系统的延迟反馈控制 |
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| 引用本文： | 黄报星.Lü系统的延迟反馈控制[J].武汉大学学报(工学版),2003,36(1). |
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| 作者姓名： | 黄报星 |
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| 作者单位： | 江汉大学物理与信息工程学院,湖北武汉,430056 |
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| 基金项目： | 湖北省武汉市科技局科技基金 |
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| 摘 要： | 应用延迟反馈控制、错位延迟反馈控制方法研究了L櫣系统的控制问题.理论证明延迟反馈控制下系统平衡点的可控性与稳定性.在k,τ大于某一阀值的条件下,焦点S+,S-稳定可控,而鞍点S0不稳定可控.在Matlab进行的数值仿真表明延迟反馈控制,错位延迟反馈控制方法能够自动地寻找系统的不同的不稳定周期轨道UPO,并方便地观察控制的稳定性和实现L櫣系统的混沌控制.理论结果与数值仿真表明二种方法对L櫣系统的控制是十分有效的.
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| 关 键 词： | L櫣系统 延迟反馈 控制 周期轨道 |
Control of chaos of Lü system by delayed feedback |
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| Abstract: | The control of Lü system has been investigated by delayed feedback control(DFC) and dislocation delayed feedback control(DDFC) methods.The controllability and stabilty of equilibriums of the system is proved.The focuses S\-+,S\-- are stable and controllable in the conditon of that k,τ is over the valve; and the saddle point S\-0 is not. The numerical simulation in Matlab shows that the DFC and DDFC can find the different UPO automatically.We can observe the stability and controllability of the cotrolled systems and bring about the controlling in Matlab.The results of the theoretic analyses and the numerical simulations show the effectiveness of the methods. |
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| Keywords: | Lü system delayed feedback control periodic orbit |
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