| 一个简化的混沌系统及其控制器设计 |
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| 引用本文： | 吴凤娇,张建伟,王雷.一个简化的混沌系统及其控制器设计[J].计算机与现代化,2013(11):38-42. |
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| 作者姓名： | 吴凤娇 张建伟 王雷 |
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| 作者单位： | 西北农林科技大学水利与建筑工程学院,陕西杨凌712100 |
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| 基金项目： | 国家自然科学基金资助项目（51202200） |
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| 摘 要： | 非线性项是产生混沌的必要条件，本文研究只含有一个非线性立方项系统的混沌行为和其控制器的设计。首先，在磁弹体系统的基础上，构造一个新的只含一个立方项的非线性系统，采用非线性动力学分析方法包括耗散性、Poincare映射和Lyapunov指数谱，对系统进行动力学分析，证实了该系统混沌的存在性。其次，为了消除系统的混沌行为，通过设计滑模控制器，将系统分别控制到期望的固定点和周期轨道。最后，通过MATLAB数值仿真验证了所设计的控制器的有效性。
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| 关 键 词： | 一个立方项 混沌 混沌分析 滑模控制 |
A New Four-dimensional Chaotic System and Its Sliding Mode Control |
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| WU Feng-jiao,ZHANG Jian-wei,WANG Lei.A New Four-dimensional Chaotic System and Its Sliding Mode Control[J].Computer and Modernization,2013(11):38-42. |
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| Authors: | WU Feng-jiao ZHANG Jian-wei WANG Lei |
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| Affiliation: | (College of Water Resources and Architectural Engineering, Northwest A＆F University, Yangling 712100, China) |
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| Abstract: | The nonlinear term is a neccessary condition for chaos, the paper studies a new four-dimensional chaos with only one cubic term and its control. Based on the magneto-elastic system, the new system is proposed and its dynamic characteristics are analyzed, including the phase trajectory map, Poincare map, Lyapunov exponents, and so on. And a new sliding mode control method is designed for the chaos control. The system is controlled to the expected fixed point and periodic orbit respectively. MATLAB simulations are presented to confirm the effectiveness of the controller. |
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| Keywords: | one cubic term chaos chaos analysis sliding mode control |
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