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利用凹槽滤波引导混沌系统到周期解 被引量:7

DIRECT CHAOS TOWARDS LOW PERIOD MOTION BASED ON NOTCH FILTER FEEDBACK CONTROL
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摘要 通过对混沌动力系统增加一个线性的反馈控制器———凹槽滤波器 ,引导一大类系统从混沌运动转化为期望的低周期运动 .基于混沌的微扰判据———Melnikov方法 ,解释了该方法实现混沌控制的数学物理机理 .控制仿真结果表明 ,该方法简单而实用 ,具有良好的应用前景 。 A method is presented here to direct the chaotic motion towards desired low-period. motion by using notch filter output feedback control in lots of chaotic systems. The mathematic and physical mechanism of this method is also discussed based on Melnikov Method which is perturbation criteria for chaos. The control results of some typical chaotic systems are given, which has been shown that the method of controlling chaos can be easily and practically realized in physical systems. The method, furthermore, can be applied to achieve control for hyper-chaotic systems.
出处 《物理学报》 SCIE EI CAS CSCD 北大核心 2001年第10期1846-1850,共5页 Acta Physica Sinica
基金 国家自然科学基金 (批准号 :19872 0 44 )~~
关键词 凹槽滤波 混沌系统 周期解 混沌控制 MELNIKOV方法 chaos control notch filter Melnikov's method
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