| 参数不确定的Liu混沌系统的自适应控制 |
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| 引用本文： | 黄娟娟,蔡国梁. 参数不确定的Liu混沌系统的自适应控制[J]. 扬州大学学报(自然科学版), 2006, 9(2): 11-15 |
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| 作者姓名： | 黄娟娟 蔡国梁 |
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| 作者单位： | 1. 江苏大学,理学院,江苏,镇江,212003;盐城师范学院,数学系,江苏,盐城,224002
2. 江苏大学,理学院,江苏,镇江,212003 |
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| 基金项目： | 国家自然科学基金资助项目(70571030)，江苏省教育厅自然科学基金资助项目(03SJB790008) |
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| 摘 要： | 研究了新型混沌系统——L iu系统的动力学行为和自适应控制问题.首先选择原系统的一部分作为子系统,在低维空间上具体分析这个系统的动力学行为,然后基于子系统分析整个系统的动力学行为.根据Lyapunov稳定性理论方法构造一个新的自适应控制器,给出了控制器及未知参数的自适应律解析式,使得全部未知参数识别和系统的控制同时取得,方法简单,控制效果好.数值模拟证明了该方法的可行性和有效性.
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| 关 键 词： | Liu混沌系统 Lyapunov函数 未知参数 自适应控制 backstepping方法 |
| 文章编号： | 1007-824X（2006）02-0011-05 |
| 收稿时间： | 2005-12-24 |
| 修稿时间： | 2005-12-24 |
Adaptive control of Liu chaotic system with parametric uncertainty |
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| HUANG Juan-juan,CAI Guo-liang. Adaptive control of Liu chaotic system with parametric uncertainty[J]. Journal of Yangzhou University(Natural Science Edition), 2006, 9(2): 11-15 |
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| Authors: | HUANG Juan-juan CAI Guo-liang |
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| Abstract: | Dynamical behaviors and adaptive control of a new chaotic system Liu system, are studied in this paper. Firstly, a subsystem of the original system is selected and the dynamical behaviors of the subsystem are analyzed in a lower-dimension space, then the dynamical behaviors of the whole system are discussed based on the subsystem. Secondly, a single new adaptive controller is designed and the analytical expression of controller and adaptive law of unknown parameters are given based on Lyapunov stability theory. With this method, parameters identification and control can be achieved simultaneously with only one controller, the proposed method is simple. Numerical simulations are provided to show the effectiveness and feasibility of the developed method. |
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| Keywords: | Liu chaotic system Lyapunov function unknown parameters adaptive control backstepping method |
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