Parameters Identification of Continuous-Time Hammerstein System with Advanced Gauss Pseudo spectral Method  

作　　者：何颖 戴明祥 杨新民 易文俊 

机构地区：[1]National Key Laboratory of Transient Physics,Nanjing University of Science and Technology

出　　处：《Journal of Donghua University(English Edition)》2016年第5期803-808,共6页东华大学学报（英文版）

基　　金：Assembly Fund,China(No.9140C3007081005)

摘　　要：An advanced Gauss pseudospectral method(AGPM) was proposed to estimate the parameters of the continuous-time(CT)Hammerstein model.The nonlinear part of the Hammerstein system is approximated with pseudospectral approximation method.The linear part was written as a controllable canonical form to circumvent the high order time-derivative of the input and output(I/O) signals,which could multiply the measurement noise in the identification procession.Furthermore,an output error minimization was constructed for the CT Hammerstein model identification,which was then transcribed into a nonlinear programming(NLP) problem by AGPM.AGPM could converge to the true values of the CT Hammerstein model with few interpolated Legendre-Gauss(LG) nodes.Lastly,two illustrative examples were proposed to verify the accuracy and efficiency of the method.An advanced Gauss pseudospectral method（AGPM） was proposed to estimate the parameters of the continuous-time（CT）Hammerstein model.The nonlinear part of the Hammerstein system is approximated with pseudospectral approximation method.The linear part was written as a controllable canonical form to circumvent the high order time-derivative of the input and output（I/O） signals,which could multiply the measurement noise in the identification procession.Furthermore,an output error minimization was constructed for the CT Hammerstein model identification,which was then transcribed into a nonlinear programming（NLP） problem by AGPM.AGPM could converge to the true values of the CT Hammerstein model with few interpolated Legendre-Gauss（LG） nodes.Lastly,two illustrative examples were proposed to verify the accuracy and efficiency of the method.

关 键 词：minimization Legendre controllable converge canonical verify transcribed interpolation derivative affine 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]