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一个新混沌系统的镇定
引用本文:王绍明,王安福,廖晓昕.一个新混沌系统的镇定[J].武汉科技大学学报(自然科学版),2007,30(3):323-326.
作者姓名:王绍明  王安福  廖晓昕
作者单位:1. 郧阳师专物理与电子工程系,湖北,丹江口,442700;华中科技大学控制系,湖北,武汉,430074
2. 郧阳师专物理与电子工程系,湖北,丹江口,442700
3. 华中科技大学控制系,湖北,武汉,430074
基金项目:湖北省教育厅科学技术资助项目;国家自然科学基金
摘    要:研究一个新混沌系统的不稳定平衡点的镇定问题.当参数已知时,根据Lyapunov稳定性理论,分别设计了合适的非线性反馈控制器和线性控制器,使受控的新混沌系统期望镇定的任一不稳定平衡点全局指数稳定;当参数未知时,利用自适应策略,构造了相应的控制器使受控系统期望镇定的任一不稳定平衡点渐近稳定.数值仿真结果表明,这些控制方法是有效的.

关 键 词:混沌系统  不稳定平衡点镇定  非线性反馈控制  线性反馈控制  自适应控制
文章编号:1672-3090(2007)03-0323-04
修稿时间:2006-11-17

Stabilization of a new chaotic system
Wang Shaoming,Wang Anfu,Liao Xiaoxin.Stabilization of a new chaotic system[J].Journal of Wuhan University of Science and Technology(Natural Science Edition),2007,30(3):323-326.
Authors:Wang Shaoming  Wang Anfu  Liao Xiaoxin
Institution:1. Department of Physics and Electric Engineering, Yunyang Teachers College, Danjiangkou 442700, China; 2. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430070, China
Abstract:The stabilization of unstable equilibrium points of a new chaotic system is studied. According to Lyapunov stability theory, appropriate non-linear feedback controller and linear state feedback controller are designed to make any unstable equilibrium point exponentially stable when the parameters of system are certain. When the parameters are unknown, by means of an adaptive control strategy, corresponding controller is designed to make any unstable equilibrium point asymptotically stable. Numerical simulations confirm the effectiveness of these control methods.
Keywords:chaotic system  stabilization of unstable equilibrium point  non-linear feedback control  linear feedback control  adaptive control
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