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一种基于状态观测器的Duffing系统的混沌控制
引用本文:刘剑,宋珊珊,刘美菊,孟祥丽.一种基于状态观测器的Duffing系统的混沌控制[J].沈阳建筑工程学院学报(自然科学版),2009,25(2):395-398.
作者姓名:刘剑  宋珊珊  刘美菊  孟祥丽
作者单位:刘剑,刘美菊,孟祥丽,LIU Jian,LIU Meiju,MENG Xiangli(沈阳建筑大学信息与控制工程学院,辽宁沈阳,110168);宋珊珊,SONG Shanshan(中国建筑东北设计研究院有限公司,辽宁沈阳,110003)  
基金项目:国家科技支撑计划重点项目 
摘    要:目的对状态不可测系统混沌现象进行有效控制,以削弱或消除对系统造成危害的混沌运动.方法导出在一定意义下等价于原系统的重构状态,用重构状态代替真实状态来组成状态反馈,利用状态观测器法对Duffing系统进行混沌理论分析和实验仿真,在给定控制率作用下,使系统由混沌状态进入周期运行状态.结果提出了一种利用状态观测器对Duffing方程进行混沌控制的方法,使系统由初始混沌轨道转入到非混沌轨道.结论基于状态观测器的控制方法可以实现对混沌现象的有效控制,仿真结果证明了方法的有效性.

关 键 词:混沌  Duffing方程  混沌控制  状态观测器

A Chaos Control Based on State Observer for Duffing System
LIU Jian,SONG Shanshan,LIU Meiju,MENG Xiangli.A Chaos Control Based on State Observer for Duffing System[J].Journal of Shenyang Archit Civil Eng Univ: Nat Sci,2009,25(2):395-398.
Authors:LIU Jian  SONG Shanshan  LIU Meiju  MENG Xiangli
Affiliation:LIU Jian,SONG Shanshan ,LIU Meiju ,MENG Xiangli ( 1. School of Information and Control Engineering, Shenyang Jianzhu University, Shenyang China, 110168 ; 2. China Northeast Architectural Design & Research Institute Co. Ltd. , Shenyang China, 110003 )
Abstract:In order to reduce the chaos phenomenon of nonlinear system, a new chaos control method based on the state observer is presented. With the help of theoretical analysis and corresponding arithmetic, it equals to the original system in a certain sense. The reconstruction state, which replaces the true state, forms the state feedback to study the chaos of Duffing equation system. The simulation experiment has been done to test the feasibility of this way. The results show that the chaos phenomenon has been reduced.
Keywords:chaotic  Duffing equation  chaotic control  state observer
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