| 新混沌系统:Liu系统的线性状态反馈控制 |
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| 引用本文： | 李阳,张莉,彭建奎.新混沌系统:Liu系统的线性状态反馈控制[J].重庆工学院学报,2007(11). |
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| 作者姓名： | 李阳 张莉 彭建奎 |
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| 作者单位： | 兰州交通大学数理与软件工程学院 兰州730070 |
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| 基金项目： | 甘肃省自然科学基金资助项目(3ZS051-A25-030,3ZS-042-B25-049) |
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| 摘 要： | 研究了新型混沌系统——Liu系统的动力学行为和线性状态反馈控制问题.通过Routh-Hurwitz准则对系统的稳定性进行了分析,采用线性状态反馈方法在理论上证明了达到控制目标(平衡点的控制)时反馈系数的选取范围.数值仿真验证了采用该方法可以将混沌系统控制到失稳的平衡,并通过线性反馈控制将系统控制到了稳定的周期轨道.
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| 关 键 词： | 新混沌系统 Routh-Hurwitz准则 混沌 线性状态反馈控制 |
Linear State Feedback Control for Liu System,a New Chaotic System |
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| LI Yang,ZHANG Li,PENG Jian-kui.Linear State Feedback Control for Liu System,a New Chaotic System[J].Journal of Chongqing Institute of Technology,2007(11). |
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| Authors: | LI Yang ZHANG Li PENG Jian-kui |
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| Abstract: | The problem of controlling a class of new chaotic system-Liu system is investigated.Applying Routh-Hurwitz criterion,the stability of the controlled system is analyzed.The choice principle of feedback coefficients to attain control objective is proved strictly by combining the linear state feedback method. Numerical simulation results show that the method can effectively guide the chaotic trajectories to an unstable equilibrium point or periodic solution.In addition,applying a linear state feedback method,the system is controlled effectively to a steady periodic orbit. |
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| Keywords: | new chaotic system Routh-Hurwitz criterion Chaos linear state feedback control |
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