| 一种基于有源backstepping设计的混沌和超混沌系统的广义同步方法研究 |
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| 引用本文： | 张浩,马西奎,杨宇,徐翠东.一种基于有源backstepping设计的混沌和超混沌系统的广义同步方法研究[J].中国物理 B,2005,14(1):86-94. |
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| 作者姓名： | 张浩 马西奎 杨宇 徐翠东 |
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| 作者单位： | School of Electrical Engineering, Xi'an Jiaotong University,Xi'an,710049, China;School of Electrical Engineering, Xi'an Jiaotong University,Xi'an,710049, China;Key Laboratory of High Voltage Engineering and Electrical New Technology under the State Ministry of Education,Chongqing University, Chongqing,400044},China;School of Electrical Engineering, Xi'an Jiaotong University,Xi'an,710049, China;School of Electrical Engineering, Xi'an Jiaotong University,Xi'an,710049, China |
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| 基金项目： | Project supported in part by the Doctoral Foundation of Xi'an Jiaotong University, China (Grant NoDFXJTU2003-7) and by Visiting Scholar Foundation of Key Laboratory in University, China |
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| 摘 要： | 本文提出了一种新颖的有源backstepping控制设计方法用于实现两个相同R?ssler超混沌系统的同步,并进一步将该方法推广到实现Chua混沌系统和R?ssler超混沌系统的广义同步。由于该设计方法在控制器设计的每一步中都能将Lyapunov函数的选择和有源控制器的设计紧密地结合起来考虑,从而能根据工程实际灵活地构造出合适的控制器以满足系统控制要求,同时也为控制器的设计提供了一种系统的设计方法。这正是这种设计方法的最大优点。数值结果表明了本文所提出设计方法的可行性和有效性。
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| 关 键 词： | :广义同步 超混沌 混沌 有源backstepping设计 |
| 收稿时间： | 2004-04-27 |
Generalized synchronization of hyperchaos and chaos using active backstepping design |
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| Zhang Hao,Ma Xi-Kui,Yang Yu and Xu Cui-Dong.Generalized synchronization of hyperchaos and chaos using active backstepping design[J].Chinese Physics B,2005,14(1):86-94. |
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| Authors: | Zhang Hao Ma Xi-Kui Yang Yu and Xu Cui-Dong |
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| Affiliation: | School of Electrical Engineering, Xi'an Jiaotong University,Xi'an,710049, China; School of Electrical Engineering, Xi'an Jiaotong University,Xi'an,710049, China;Key Laboratory of High Voltage Engineering and Electrical New Technology under the State Ministry of Education,Chongqing University, Chongqing,400044},China |
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| Abstract: | A novel active backstepping control method is presented for synchronizing two identical R\"{o}ssler hyperchaotic systems with each other, and extended to achieve the generalized synchronization of the Chua chaotic system with the R\"{o}ssler hyperchaotic system. It is a systematic design approach and consists of a recursive procedure interlacing the choice of a Lyapunov function with the design of active control. In particular, this technique gives flexibility in constructing a control law.Numerical experiments verify the feasibility and effectiveness of the proposed control technique. |
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| Keywords: | generalized synchronization hyperchaos chaos active backstepping design |
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