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线性时变参数识别与非线性因素估计
引用本文:梁艳春,王在申,甄强.线性时变参数识别与非线性因素估计[J].吉林大学学报(理学版),1994(3).
作者姓名:梁艳春  王在申  甄强
作者单位:吉林大学数学系,中国科学院沈阳计算研究所现代制造CAD/CAM开放实验室
基金项目:国家教委留学回国人员资助费支持课题
摘    要:本文讨论了利用非线性时不变振动系统的响应,根据线性模型识别出的线性参数的时变性质判断非线性项的存在、估计系统非线性因素的问题.大量的算例表明,据此判断非线性项的存在是可行的.文中还分析了利用具有非线性项的时变系统的响应,根据线性系统模型识别线性时变参数的问题.模拟计算表明,利用非线性系统的响应籍助线性模型,可以在相当大的范围内较好的识别出系统的线性时变参数。

关 键 词:时变参数识别,非线性振动系统,物理参数

Identification of Linear Time Varying Parameters and Estimation of Non-linearities
Liang Yanchun.Identification of Linear Time Varying Parameters and Estimation of Non-linearities[J].Journal of Jilin University: Sci Ed,1994(3).
Authors:Liang Yanchun
Abstract:The existence of the non-linearities and the estimation of the time varying linearparameters were examined using the linear model and the data from non-linear systems. Alot of simulated experiments showed that it is possible to determine the existence of the non-linearities by means of the time varying characteristics of the estimated linear parameters us-ing the linear model and the data from a time invariant non-linear system. The linear param-eters can be identified within a certain range employing a linear model and the responses of atime varying non-linear system.
Keywords:time varying parameter identification  non-linear vibration system  physical pa- rameter
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