肖永生, 黄丽贞, 王建宏. 分段多项式逼近的递推辨识研究[J]. 南昌航空大学学报(自然科学版), 2012, 26(2): 38-44.
引用本文: 肖永生, 黄丽贞, 王建宏. 分段多项式逼近的递推辨识研究[J]. 南昌航空大学学报(自然科学版), 2012, 26(2): 38-44.
XIAO Yong-sheng, HUANG Li-zhen, WANG Jian-hong. Recursive Identification of Hammerstein Systems Using Polynomial Function Approximate[J]. Journal of nanchang hangkong university(Natural science edition), 2012, 26(2): 38-44.
Citation: XIAO Yong-sheng, HUANG Li-zhen, WANG Jian-hong. Recursive Identification of Hammerstein Systems Using Polynomial Function Approximate[J]. Journal of nanchang hangkong university(Natural science edition), 2012, 26(2): 38-44.

分段多项式逼近的递推辨识研究

Recursive Identification of Hammerstein Systems Using Polynomial Function Approximate

  • 摘要: 通过对Hammerstein系统非线性系统辨识的研究,Hammerstein模型中的非线性稳态函数用一族分段的多项式函数来逼近。辨识的主要方法是用噪声项的估计值来代替信息矢量中的噪声项,利用可获得的参数估计值来计算噪声中的估计值。辨识方法分为两步:第一步采用增广的随机梯度法,辨识模型中的部分未知参数;第二步在奇异值分解(SVD)的基础上,提出一种新的方法来辨识模型中剩余的未知参数。通过实验仿真,论证了本文提出方法的有效性。

     

    Abstract: Nonlinear system identification of Hammerstein model was studied.The nonlinear static function was approximated by a number of polynomial functions.The basic method is to replace immeasurable noise terms in the information vectors by their estimates,and to compute the noise estimates based on the obtained parameter estimates.It is based on a piecewise-linear Hammerstein model,which is linear in the parameters.The identification procedure is divided into two steps.In step 1,the extended stochastic gradient algorithm is adopted to identify some unknown parameters.In step 2,based on signal value decomposition(SVD),this paper proposes a new method to identify the other parameters.Simulations results demonstrate the validity of the proposed approach.

     

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