输入输出测量噪声干扰下连续Hammerstein模型参数直接辨识

中国机械工程 ›› 2012, Vol. 23 ›› Issue (4): 458-463.

输入输出测量噪声干扰下连续Hammerstein模型参数直接辨识

贺尚红;赵天林;石芳

长沙理工大学,长沙,410114

出版日期:2012-02-25 发布日期:2012-03-02
基金资助:
国家自然科学基金资助项目(50875028)
National Natural Science Foundation of China（No. 50875028）

Direct Parameter Identification of Continuous-time Hammerstein Model with Input/Output Measurement Noises

He Shanghong;Zhao Tianlin;Shi Fang

Changsha University of Science and Technology,Changsha,410114 

Online:2012-02-25 Published:2012-03-02
Supported by:
National Natural Science Foundation of China（No. 50875028）

摘要/Abstract

摘要：

对输入输出测量噪声干扰下连续Hammerstein模型进行参数重组处理,得到线性微分方程。利用小波调制函数对该线性微分方程进行调制积分处理,得到等价的代数方程。在研究调制函数对输入输出测量噪声影响的基础上,提出用广义噪声模型来处理输入输出测量噪声并提出调制广义最小二乘算法来实现代数方程的无偏参数估计。最后利用奇异值分解(SVD）方法获得Hammerstein模型参数。数字仿真和工业应用实例验证了所提出方法的有效性和实用性。

关键词:

Hammerstein模型, 调制函数, 广义最小二乘, 奇异值分解

Abstract:

With input/output measurement noises,parameters of continuous-time Hammerstein model were restructured to gain its equivalent linear differential equation.Modulation integral of the linear differential equation was conducted by wavelet modulation function(WMF) which got equivalent algebraic equation.

Modulation integral of input/output measurement noises were analyzed,then generalized noise model was put forward to deal with input/output measurement noises.The unbiased parameters of algebraic equation were obtained by modulation generalized least square algorithm.Finally, the parameter of Hammerstein model was achieved by singular value decomposition(SVD).The numerical simulation and industrial example were carried out to demonstrate the effectiveness and practical applicability of the algorithm. 

Key words: Hammerstein model, modulation function, generalized least square, singular value decomposition

中图分类号:

TH137
TB53

贺尚红, 赵天林, 石芳.

输入输出测量噪声干扰下连续Hammerstein模型参数直接辨识

[J]. 中国机械工程, 2012, 23(4): 458-463.

HE Chang-Gong, DIAO Tian-Lin, DAN Fang.

Direct Parameter Identification of Continuous-time Hammerstein Model with Input/Output Measurement Noises

[J]. China Mechanical Engineering, 2012, 23(4): 458-463.

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参考文献

[1]Billings S A. Identification of Nonlinear Systems--a Survey[J]. IEEE Proceedings, Control Theory and Applications, 1980,6 : 272-282.
[2]潘立登, 潘仰东.系统辨识与建模[M],2004.
[3]Balestrino A, Landi A,Sani L. Parameter Identifica- tion of Continuous Systems with Multiple--inputTime Delays via Modulating Functions[J].IEE Proc. D,Contr. Theory Appl. ,2000,147(1) :19-27.
[4]贺尚红[1],钟掘[2].基于调制函数法的线性连续动力学系统参数模型估计[J].机械工程学报,2003,39(12):129-134.
[5]He Shanghong,Zhong Jue. Modeling and Identifica- tion of HAGC System of a Temper Rolling Mill[J].Journal of Central South University of Technology, 2005,12(6) : 699-704.
[6]Narendra K S, Gallman P G. An Iterative Method for the Identification of Nonlinear Systems Using a Hammerstein Model [J]. IEEE Trans. Automat. Control, 1966,11 (6) : 546-550.
[7]刘栋[1],陶涛[1],梅雪松[1,2].伺服系统Hammerstein非线性模型及参数辨识方法研究[J].西安交通大学学报,2010,44(3):42-46.
[8]Stoica J P. On the Convergence of an Iterative Algorithm Used for Hammerstein System Identification[J]. IEEE Trans. Automat. Control,1981,26(4) :967-969.
[9]Chang F H I, Luus R. A Noniterative Method for Identification Using Hammerstein Model[J]. IEEE Trans. Automat. Control, 1971,16(4) :464-468.
[10]Sequare D I3, Heinz U. Identification of Nonlinear Continuous-- time Hammerstein Model via HMF -- method [C]//Proceedings of the 36th Confer- ence on Decision & Control. San Diego, USA.. IEEE, 1997 : 2990-2995.
[11]Seo In--Yong. Identification of Nonlinear Continu- ous Hammerstein Model Using the Fourier Modu- lating Function Technique[C]//The 30th Annual Conference of the IEEE Industrial Electronics So- ciety. Busan, Korea: IEEE, 2004 : 1588-1593.
[12]Jordan J R. System Identification with Hermite Modulating Functions[J]. IEEE Proceedings, Con- trol Theory and Applications, 1990,137 (2) : 87-93.
[13]Patra A,Unbehauen H. Identification of a Class of Nonlinear Continuous--time Systems Using Hart- ley Modulating Functions [J]. Int. J. Control, 1995,62(6) :1431-1451.
[14]Ding F, Chen T. Identification of Hammerstein Nonlinear ARMAX Systems [ J ]. Automatica, 2005,41(9) : 1479-1489.
[15]范伟[1],丁锋[1].Hammerstein非线性系统参数估计分离的三种方法[J].科学技术与工程,2008,8(6):1586-1589.