| 非线性系统的非参数识别 |
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| 引用本文： | 马孝江,袁景侠.非线性系统的非参数识别[J].大连理工大学学报,1988(3). |
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| 作者姓名： | 马孝江 袁景侠 |
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| 作者单位： | 大连理工大学机械系
(马孝江),大连理工大学机械系(袁景侠) |
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| 基金项目： | 国家自然科学基金资助项目。 |
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| 摘 要： | 对一个系统进行非线性的判别,进而识别出其非线性的类型,可统称为非线性系统的非参数识别。本文阐述了一些非线性时间序列的非参数识别的方法：对于确定性非线性振动系统,识别方法为极限环法和Ｈｉｌｂｅｒｔ变换;对于随机非线性振动系统,采用概率统计方法．其中有概率密度函数的分布,高阶矩,高阶相关和多维功率谱。计算机仿真实验证明,以上方法是行之有效的。
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| 关 键 词： | 非线性振动 非参数识别 矩 功率谱 自相关函数/高阶矩 高阶相关 多维谱 |
Non-Parameter Identification of Non-Linear Systems |
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| Ma Xiaojiang,Yuan Jingxia.Non-Parameter Identification of Non-Linear Systems[J].Journal of Dalian University of Technology,1988(3). |
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| Authors: | Ma Xiaojiang Yuan Jingxia |
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| Abstract: | The concept "non-parameter identification" includes detecting non-lineari- ty in the systems and identifying the types of the non-linear systems. Some methods of non-parameter identification for some non-linear time series are described: for deterministic non-linear vibration, the limit-cycle method and Hilbert transform are used; for stochastic non-linear vibration, the methods are distribuition of probability density function, higher order moments, Poly-correlation and Poly-spectra. The results of computer simulation tests show that the aboye-mentioned methods are efficient for non-parameter identification in non-linear systems. |
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| Keywords: | non-linear vibration non-parameter identification moments power spectrum auto-correlation functions/higher order moments poly-co- rralation polyspectrum |
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