中国机械工程
中國機械工程
중국궤계공정
CHINA MECHANICAl ENGINEERING
2012年
4期
458-463
,共6页
Hammerstein模型%调制函数%广义最小二乘%奇异值分解
Hammerstein模型%調製函數%廣義最小二乘%奇異值分解
Hammerstein모형%조제함수%엄의최소이승%기이치분해
Hammerstein model%modulation function%generalized least square%singular value decomposition
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。
對輸入輸齣測量譟聲榦擾下連續Hammerstein模型進行參數重組處理,得到線性微分方程。利用小波調製函數對該線性微分方程進行調製積分處理,得到等價的代數方程。在研究調製函數對輸入輸齣測量譟聲影響的基礎上,提齣用廣義譟聲模型來處理輸入輸齣測量譟聲併提齣調製廣義最小二乘算法來實現代數方程的無偏參數估計。最後利用奇異值分解（SVD）方法穫得Hammerstein模型參數。數字倣真和工業應用實例驗證瞭所提齣方法的有效性和實用性。
대수입수출측량조성간우하련속Hammerstein모형진행삼수중조처리,득도선성미분방정。이용소파조제함수대해선성미분방정진행조제적분처리,득도등개적대수방정。재연구조제함수대수입수출측량조성영향적기출상,제출용엄의조성모형래처리수입수출측량조성병제출조제엄의최소이승산법래실현대수방정적무편삼수고계。최후이용기이치분해（SVD）방법획득Hammerstein모형삼수。수자방진화공업응용실례험증료소제출방법적유효성화실용성。
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.
