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	基于SVR的非线性动态系统建模方法研究
	吴德会 ; WU De-hui
	2010-06-10 ; 2010-06-10
关键词	Hammerstein模型 建模 支持向量回归机 Hammerstein model modeling Support Vector Regression (SVR) TP391.9
其他题名	Research into modeling method of nonlinear dynamic system based on SVR
中文摘要	提出一种基于支持向量回归机(SVR)的非线性动态系统建模方法。用非线性静态子环节和线性动态子环节串联——Hammerstein模型来描述非线性动态系统。然后,通过函数展开将Hammerstein模型的非线性传递函数转换为等价的线性形式,从而建立起线性中间模型。再由SVR算法辨识出中间模型参数。最后,通过中间模型参数与Hammerstein模型参数之间的关系,实现原系统的非线性静态环节和线性动态环节的同时辨识。用非线性动态系统标定实验数据进行测试,建模结果表明所提方法具有如下优点:1)只需进行一次动态标定实验;2)能给出非线性动态模型的数学解析表达式;3)充分利用SVR的优点,使所建模型具有更好的鲁棒性。该研究为非线性动态系统建模又提供了一种新方法。; A modeling method for nonlinear dynamic system based on Support Vector Regression (SVR) was proposed in this paper. The Hammerstein model expressed by a nonlinear static subunit followed by a linear dynamic subunit was used to describe the nonlinear dynamic system. Through the function expansion, the nonlinear transfer function of Hammerstein model could be converted to the same form as linear one, thus generating the intermediate linear model. Also, by SVR algorithm, the coefficients of the intermediate model were obtained. Moreover, through the relations of the coefficients of intermediate model and that of Hammerstein model, the nonlinear static subunit and linear dynamic subunit were identified simultaneously. Calibrating experimental data of nonlinear dynamic system were used to test. The results show that, compared with conventional nonlinear dynamic modeling methods, the proposed one possesses prominent advantages: 1) Only once dynamic calibrating experiment need be made; 2) The analytic expressions of nonlinear dynamic model are derived; 3) The model is more robust in noise resistance due to the good features of SVR. It provides a better way to model the nonlinear dynamic system.; 国家自然科学基金资助项目(70272032,70672096); 江西省教育厅科技项目(2007328)
语种	中文 ; 中文
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/62233]
专题	清华大学
推荐引用方式 GB/T 7714	吴德会,WU De-hui. 基于SVR的非线性动态系统建模方法研究[J],2010, 2010.
APA	吴德会,&WU De-hui.(2010).基于SVR的非线性动态系统建模方法研究..
MLA	吴德会,et al."基于SVR的非线性动态系统建模方法研究".(2010).

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