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| 一种非线性振动系统参数辨识方法 | |
| 引用本文： | 张娟 李亮 张烈霞 邓峰岩. 一种非线性振动系统参数辨识方法[J]. 机械科学与技术, 2004, 23(2): 167-169 |
| 作者姓名： | 张娟 李亮 张烈霞 邓峰岩 |
| 作者单位： | 西北工业大学工程力学系 西安710072(张娟，李亮，张烈霞)，西北工业大学工程力学系 西安710072(邓峰岩) |
| 基金项目： | 西北工业大学博士论文创新基金和西北工业大学青年教师创新基金资助 |
| 摘 要： | 文献 [1]提出了一种对非线性系统线性化的最小二乘法理想线性化方法 ,此方法当动态参数在较大范围变化时 ,仍能较准确地逼近原系统。本文利用理想线性化的结论来对非线性系统进行参数辨识。先假设原系统非线性模型是由某些已知的非线性函数构成 ,并找到一个系统较为逼近的线性模型 ,再利用理想线性化的结论推导出线性模型系数和非线性模型系数之间的关系 ,反推出系统的非线性模型。数值仿真结果表明 ,此非线性模型比最初线性模型更加逼近原系统。 |
| 关 键 词： | 最小二乘法理想线性化 非线性系统 参数辨识 仿真 |
| 文章编号： | 1003-8728(2004)02-0167-03 |
A Method for Identification of a Nonlinear Oscillation System''''s Parameters Based on Least Square Optimal Linearization |
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| ZHANG Juan,LI Liang,ZHANG Lie-xia,Deng Feng-yan. A Method for Identification of a Nonlinear Oscillation System''''s Parameters Based on Least Square Optimal Linearization[J]. Mechanical Science and Technology for Aerospace Engineering, 2004, 23(2): 167-169 | |
| Authors: | ZHANG Juan LI Liang ZHANG Lie-xia Deng Feng-yan |
| Abstract: | We presents a method for identifying and predicting the parameters of a nonlinear oscillation system based on the method of least square optimal linearization. Firstly, the nonlinearmodel of the original system is supposed to be made up of some nonlinear functions, and the conventional linear model is established. Secondly, the relation of the coefficient of linear model and nonlinear model is derived by using the conclusions of least square optimal linearization. Finally, a nonlinear model of the original system is established which can be used to predict the parameters. Simulation result shows that the nonlinear model is a good approximation to the original system. |
| Keywords: | Nonlinear oscillation Parameter identification Least squares optimal linearization |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |