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基于三种方法的新Lü混沌系统的同步
Synchronization of new Lü chaotic system via three methods
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摘要: 分别用状态观测器法、主动控制法和Backstepping法研究了含有常数项的新Lü混沌系统的自同步问题.针对非严格反馈的新Lü混沌系统,分别基于以上三种方法设计了自适应控制器,依据Lyapunov稳定性原理证明了这些控制器能够较好地实现新Lü混沌系统的渐近自同步.数值仿真实验进一步验证了以上三种同步方法的有效性.经对三种同步方法比较分析,发现基于状态观测器的同步方法更加灵活高效.
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关键词:
- 混沌同步 /
- 状态观测器 /
- 主动控制 /
- Backstepping
Abstract: In this paper we study the chaos synchronization of a new Lü chaotic system containing constants via three methods,i.e.,state observer,active control method,and backstepping method.Based on the above three methods,the we design an adaptive controller according to the Lyapunov stability theory which proves that the controller can well realize the asymptotical synchronization between two identical systems.Through numerical simulation,we further verify the effectiveness and the advantage of the above three synchronization methods.The synchronization method based on state observer is believed to be more flexible and efficient through the comparative analysis of three kinds of synchronization methods. -
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