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频域法在分数阶混沌系统计算中的局限性分析
  • ISSN号：0367-6234
  • 期刊名称：哈尔滨工业大学学报
  • 时间：2011
  • 页码：8-12
  • 分类：TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]哈尔滨工业大学空间控制与惯性技术研究中心,哈尔滨150080
  • 相关基金：国家自然科学基金资助项目（60804002）.
  • 相关项目：基于切换控制策略的分数阶系统研究
作者： 王茂|孙光辉|魏延岭|
关键词： 频域近似法, 预估-校正算法, 分数阶系统, 混沌系统, frequency domain approximation； predictor-corrector algorithm； fractional-order system； chaotic system；
中文摘要：

基于分数阶积分算子在频域内的响应,分析了频域近似法在分数阶混沌系统计算中的局限性.频域近似法只能在期望的频带范围内实现与实际系统的近似,而在高频与低频段都存在着较大的误差.因此,当其应用到分数阶混沌系统计算时存在着很大的局限性,甚至得到与预估-校正算法完全不同的结论.通过对分数阶Chen系统的仿真,验证了该结论的正确性.

英文摘要：

Based on the frequency response of the fractional integral operator,this work analyses the limitations of frequency domain approximation algorithm in the calculation of fractional order chaotic systems.The frequency domain approximation algorithm can approach to the original system in desired frequency band,but in the low and high frequency band there are large errors.Therefore,there are some limitations in the calculation of fractional chaotic system.Comparing with the predictor-corrector algorithm,totally different conclusions can be got by the frequency domain approximation algorithm.Taking the fractional Chen system as an example,numerical simulation results verify the effectiveness of our results.

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期刊信息
  • 《哈尔滨工业大学学报》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国工业和信息化部
  • 主办单位:哈尔滨工业大学
  • 主编：冷劲松
  • 地址：哈尔滨市南岗区西大直街92号
  • 邮编：150001
  • 邮箱：
  • 电话：0451-86403427 86414135
  • 国际标准刊号：ISSN：0367-6234
  • 国内统一刊号：ISSN：23-1235/T
  • 邮发代号:14-67
  • 获奖情况:
  • 2000年获黑龙省科技期刊评比一等奖,中国期刊方阵“双效”期刊
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  • 被引量:27329