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                    基于多模態特征子集選擇性集成建模的磨機負荷參數預測方法

                    劉卓 湯健 柴天佑 余文

                    劉卓,  湯健,  柴天佑,  余文.  基于多模態特征子集選擇性集成建模的磨機負荷參數預測方法.  自動化學報,  2021,  47(8): 1921?1931 doi: 10.16383/j.aas.c190735
                    引用本文: 劉卓,  湯健,  柴天佑,  余文.  基于多模態特征子集選擇性集成建模的磨機負荷參數預測方法.  自動化學報,  2021,  47(8): 1921?1931 doi: 10.16383/j.aas.c190735
                    Liu Zhuo,  Tang Jian,  Chai Tian-You,  Yu Wen.  Selective ensemble modeling approach for mill load parameter forecasting based on multi-modal feature sub-sets.  Acta Automatica Sinica,  2021,  47(8): 1921?1931 doi: 10.16383/j.aas.c190735
                    Citation: Liu Zhuo,  Tang Jian,  Chai Tian-You,  Yu Wen.  Selective ensemble modeling approach for mill load parameter forecasting based on multi-modal feature sub-sets.  Acta Automatica Sinica,  2021,  47(8): 1921?1931 doi: 10.16383/j.aas.c190735

                    基于多模態特征子集選擇性集成建模的磨機負荷參數預測方法

                    doi: 10.16383/j.aas.c190735
                    基金項目: 國家自然科學基金(61703089, 61803191, 61673097), 中央高?;究蒲袠I務費專項資金項目(N17080400), 礦冶過程自動控制技術國家重點實驗室, 礦冶過程自動控制技術北京市重點實驗室(BGRIMM-KZSKL-2020-02)資助
                    詳細信息
                      作者簡介:

                      劉卓:東北大學流程工業綜合自動化國家重點實驗室講師. 主要研究方向為復雜工業過程建模. E-mail: liuzhuo@ise.neu.edu.cn

                      湯?。罕本┕I大學教授. 主要研究方向為小樣本數據建模, 城市固廢自動化處理. 本文通信作者. E-mail: freeflytang@bjut.edu.cn

                      柴天佑:中國工程院院士, 東北大學教授. IEEE Fellow, IFAC Fellow, 歐亞科學院院士. 主要研究方向為自適應控制, 智能解耦控制, 流程工業綜合自動化理論、方法與技術. E-mail: tychai@mail.neu.edu.cn

                      余文:墨西哥國立理工大學高級研究中心自動化部教授. 主要研究方向為復雜工業過程建模與控制, 機器學習. E-mail: yuw@ctrl.cinvestav.mx

                    Selective Ensemble Modeling Approach for Mill Load Parameter Forecasting Based on Multi-modal Feature Sub-sets

                    Funds: Supported by National Natural Science Foundation of China (61703089, 61803191, 61673097), the Fundamental Research Funds for the Central Universities (N17080400), National & Beijing Key Laboratory of Process Automation in Mining & Metallurgy (BGRIMM-KZSKL-2020-02)
                    More Information
                      Author Bio:

                      LIU Zhuo Lecturer at the State Key Laboratory of Synthetical Automation for Process Industries of Northeastern University. Her research interest covers modeling for complex industries

                      TANG Jian Professor at Beijing University of Technology. His research interest covers small sample data modeling and intelligent automatic processing of municipalsolid. Corresponding author of this paper

                      CHAI Tian-You Academician of Chinese Academy of Engineering, professor at Northeastern University, IEEE Fellow, IFAC Fellow, and Academician of the International Eurasian Academy of Sciences. His research interest covers adaptive control, intelligent decoupling control, and integrated automation thoery, method and technology of industrial process

                      YU Wen Professor in the Departamento de Control Automatico of the Centro de Investigation de Estudios Avanzados, National Polytechnic Institute Mexico. His research interest covers modeling and control of the complex industrial process, and machine learning

                    • 摘要:

                      如何融合球磨機系統研磨過程所產生的多模態機械信號構建磨機負荷參數預測(Mill load parameter forecasting, MLPF)模型是當前研究的熱點. 針對上述問題, 本文提出一種基于多模態特征子集選擇性集成(Selective ensemble, SEN)建模的MLPF方法. 首先, 對多模態機械信號進行時頻域變換得到高維頻譜數據; 接著, 采用相關系數法和互信息法對多模態頻譜進行線性和非線性特征子集的自適應選擇; 最后, 采用優化和加權算法對上述特征子集的候選子模型進行自適應地選擇與合并, 得到基于SEN機制的MLPF模型. 采用磨礦過程實驗球磨機的機械信號仿真驗證了所提方法的有效性.

                    • 圖  1  磨機系統不同位置機械信號的產生機理示意圖

                      Fig.  1  Generation mechanism of mechanical signals in different position of mill system

                      圖  2  建模策略

                      Fig.  2  The proposed modeling strategy

                      圖  3  實驗球磨機傳感器布置示意圖

                      Fig.  3  Layout of sensors for experimental ball mill

                      圖  4  模態Ch1, Ch6, Ch8的頻譜變量與MBVR間的相關系數和互信息值

                      Fig.  4  Correlation coefficient and mutual information value between spectrum variable of mode Ch1, Ch6, Ch8 and MBVR

                      表  1  面向PD的不同模態頻譜特征的特征選擇系數統計表

                      Table  1  Coefficients statistical table of different modal spectrum feature for PD

                      類別Ch1Ch2Ch3Ch4Ch5Ch6Ch7Ch8
                      線性特征選擇系數Min0.090500.0078680.36780.0050180.00019940.0095960.0020750.8741
                      線性特征選擇系數Max1.28971.73511.19131.39045.28831.26492.05641.0571
                      非線性特征選擇系數Min0.66440.56590.88130.84030.57180.70390.48600.9228
                      非線性特征選擇系數Max1.07151.08851.16801.13041.35561.13521.6231.0599
                      下載: 導出CSV

                      表  2  候選子模型編碼

                      Table  2  Coding of candidate sub-models

                      序號子模型特點子模型名稱子模型編碼多模態通道編號
                      1lin_linCorr-PLS1-81-Ch1, 2-Ch2, 3-Ch3, 4-Ch4, 5-Ch5, 6-Ch6, 7-Ch7, 8-Ch8
                      2nonlin_linMi-PLS9-169-Ch1, 10-Ch2, 11-Ch3, 12-Ch4, 13-Ch5, 14-Ch6, 15-Ch7, 16-Ch8
                      3lin_nonlinCorr-RWNN17-2417-Ch1, 18-Ch2, 19-Ch3, 20-Ch4, 21-Ch5, 22-Ch6, 23-Ch7, 24-Ch8
                      4nonlin_nonlinMi-RWNN25-3225-Ch1, 26-Ch2, 27-Ch3, 28-Ch4, 29-Ch5, 30-Ch6, 31-Ch7, 32-Ch8
                      下載: 導出CSV

                      表  3  不同特征選擇系數時所構建的SEN模型的預測誤差和所選擇的子模型編號

                      Table  3  Prediction error of SEN model with different feature selection coefficients and selected sub-model number

                      序號MBVRPDCVR
                      測試誤差集成子模型編號測試誤差集成子模型編號測試誤差集成子模型編號
                      10.05330{ 21 23 27 31 17 32 19 24 30}0.01579{26 18 30}0.01083{14 19 26 18 30 22}
                      20.06204{14 31 32 24 27 30}0.01805{25 10 31 32 14 19 24 18 30}0.009697{27 26 22 30}
                      30.04515{9 17 26 14 30 27 22 32 19 24}0.01855{24 14 18 30 26}0.01146{27 14 19 26 31 18 30 22}
                      40.04717{23 17 27 19 32 24 30}0.01582{14 24 26 27 32 30}0.009544{19 30 22}
                      50.05231{27 17 30 23 19 32 24}0.01843{24 14 25 22 18 19 30}0.01093{20 14 31 27 32 19 26 22 30}
                      60.04433{31 22 30 32 19 24}0.01452{22 14 24 32 26 19 30}0.009930{23 25 20 18 32 27 26 19 30 22}
                      70.05697{31 32 24}0.01627{26 22 18 24 32 19 30}0.009870{6 20 28 19 32 18 26 27 22 30}
                      80.04459{27 26 23 22 31 25 30 17 32 24}0.01687{27 18 32 19 30}0.009280{28 18 26 27 19 22 30}
                      90.04969{26 32 27 30 25 19 24}0.01718{2 18 27 6 26 32 25 30}0.009650{18 32 26 25 27 19 30 22}
                      100.04624{22 17 26 27 30 25 32 19 31 24}0.01748{25 26 22 32 27 6 18 19 30}0.01212{22 30}
                      110.04404{25 17 18 27 22 19 30 24}0.01769{17 23 22 26 27 6 30 19 18}
                      下載: 導出CSV

                      表  4  磨機負荷參數各通道與多模態特征子集選擇性集成模型的測試誤差比較

                      Table  4  Comparison of test errors between various channels of mill load parameters and multi-modal feature subset SEN model

                      RMSREs備注
                      MBVRPDCVR
                      Corr-PLSMi-PLSCorr-RWNNMi-RWNNCorr-PLSMi-PLSCorr-RWNNMi-RWNNCorr-PLSMi-PLSCorr-RWNNMi-RWNN
                      Ch10.19240.34260.13140.15030.067100.054110.069100.051610.059110.066220.070300.04930筒體振動
                      Ch20.32130.72070.31030.14010.042210.044300.033210.037510.056500.047110.037110.02620筒體振動
                      Ch30.44010.44310.091120.090200.120120.076110.031110.052100.11320.078310.029220.03810筒體振聲
                      Ch40.51250.42250.28220.20010.11420.086200.064600.11840.074420.069100.041100.04772筒體振聲
                      Ch50.46110.34090.19110.22210.10870.081220.11610.098100.097110.096100.044400.09911軸承振動
                      Ch60.31050.21410.14310.13410.044100.037200.035200.024310.035200.036410.016300.01720軸承振動
                      Ch70.38020.25020.13210.11010.10830.062410.061210.056110.094510.048110.049100.04141軸承振動
                      Ch80.59340.60310.080900.36310.09710.079100.033100.032200.14210.089300.068400.03730研磨振聲
                      本文方法0.044040.014520.00928
                      下載: 導出CSV

                      表  5  磨機負荷參數各通道與多模態特征子集選擇性集成模型的平均測試誤差比較

                      Table  5  Average test errors comparison of the various channels of mill load parameters and multi-modal feature subset SEN model

                      通道MBVRPDCVR平均預測誤差備注
                      Ch10.13140.051610.049300.07740筒體振動
                      Ch20.14010.033210.026200.06650筒體振動
                      Ch30.090200.031110.029220.05020筒體振聲
                      Ch40.20010.064600.041100.1019筒體振聲
                      Ch50.19110.081220.044400.1056軸承振動
                      Ch60.13410.024310.016300.05820軸承振動
                      Ch70.11010.056110.041410.06920軸承振動
                      Ch80.080900.032200.037300.05010研磨振聲
                      本文方法0.044040.014520.009280.02260
                      下載: 導出CSV
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                    • 收稿日期:  2019-10-23
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