控制理论与应用
控製理論與應用
공제이론여응용
CONTROL THEORY & APPLICATIONS
2010年
3期
391-394,399
,共5页
贾润达%毛志忠%常玉清%周俊武
賈潤達%毛誌忠%常玉清%週俊武
가윤체%모지충%상옥청%주준무
径向基函数%投影寻踪%偏最小二乘法%鲁棒性%非线性
徑嚮基函數%投影尋蹤%偏最小二乘法%魯棒性%非線性
경향기함수%투영심종%편최소이승법%로봉성%비선성
radial basis function%projection pursuit%partial least squares%robustness%nonlinear
来自工业现场的数据往往具有非线性特性且包含离群点,利用非线性偏最小二乘法(partial least squares,PLS)建模易受离群点的影响.针对这一问题,结合径向基函数(radial basis function,RBF)网络,本文提出了一种基于投影寻踪的非线性鲁棒PLS方法.该方法首先利用RBF变换将自变量与因变间的非线性关系转化为线性关系;然后利用投影寻踪算法提取变换后自变量的鲁棒偏最小二乘法成分:最后建立鲁棒PLS成分与因变量之间的鲁棒线性回归模型.将该方法应用于湿法冶金萃余液pH值软测量建模问题,结果验证了其有效性.
來自工業現場的數據往往具有非線性特性且包含離群點,利用非線性偏最小二乘法(partial least squares,PLS)建模易受離群點的影響.針對這一問題,結閤徑嚮基函數(radial basis function,RBF)網絡,本文提齣瞭一種基于投影尋蹤的非線性魯棒PLS方法.該方法首先利用RBF變換將自變量與因變間的非線性關繫轉化為線性關繫;然後利用投影尋蹤算法提取變換後自變量的魯棒偏最小二乘法成分:最後建立魯棒PLS成分與因變量之間的魯棒線性迴歸模型.將該方法應用于濕法冶金萃餘液pH值軟測量建模問題,結果驗證瞭其有效性.
래자공업현장적수거왕왕구유비선성특성차포함리군점,이용비선성편최소이승법(partial least squares,PLS)건모역수리군점적영향.침대저일문제,결합경향기함수(radial basis function,RBF)망락,본문제출료일충기우투영심종적비선성로봉PLS방법.해방법수선이용RBF변환장자변량여인변간적비선성관계전화위선성관계;연후이용투영심종산법제취변환후자변량적로봉편최소이승법성분:최후건립로봉PLS성분여인변량지간적로봉선성회귀모형.장해방법응용우습법야금췌여액pH치연측량건모문제,결과험증료기유효성.
Data from industrial field usually possess nonlinear feature and contain outliers; modeling with nonlin-ear partial least squares(PLS) method may suffer from these outliers. For this case, combining with radial basis func-tion(RBF) networks, we present a nonlinear robust PLS method based on the projection pursuit. First, the nonlinear relationship between independent and dependent variables is changed into a linear one by RBF transformation. Then, pro-jection pursuit algorithm is employed to extract the robust PLS components of transformed independent variables. Finally a robust linear regression model is established between robust PLS components and the dependent variable. Applying the method to the soft-sensor modeling for pH value of raffmate solution in hydrometallurgy, we validate the effectiveness by the results.