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基于混合準則的軟測量建模輔助變量選擇方法
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國家自然科學(xué)基金項目(51404211)


Mixed Criterion Based Secondary Variables Selection for Soft Sensor
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    摘要:

    軟傳感器在工業(yè)中被廣泛應用于預測與產(chǎn)品質(zhì)量密切相關(guān)的關(guān)鍵過(guò)程變量,這些變量很難在線(xiàn)測量。要建立一個(gè)高精度的軟傳感器,選擇合適的輔助變量是至關(guān)重要的。針對這個(gè)問(wèn)題,本文通過(guò)耦合訓練集的BIC準則以及驗證集的MSE準則得到一個(gè)混合整數非線(xiàn)性規劃問(wèn)題,并將該MINLP問(wèn)題分成內外兩層結構,外層采用遺傳算法對二元整數變量進(jìn)行尋優(yōu),內層在整數變量固定之后退化成了較易于求解的非線(xiàn)性規劃問(wèn)題。在此基礎上經(jīng)過(guò)進(jìn)一步分析提出了基于混合準則的變量選擇方法,然后將所得輔助變量子集代入BP神經(jīng)網(wǎng)絡(luò )進(jìn)行軟測量建模。最后,通過(guò)4組案例對所提出方法進(jìn)行驗證。結果表明,所提出方法建立的軟測量模型具有較好的預測性能。

    Abstract:

    Soft sensors are widely used in industry to predict key process variables that are closely related to product quality, and these variables are difficult to measure online. To build a high-precision soft sensor, it is important to choose the appropriate auxiliary variables. Aiming at this problem, this paper obtains a mixed integer nonlinear programming problem by coupling the BIC criterion of the training set and the MSE criterion of the verification set, and divides the mixed integer nonlinear programming problem into two layers, the inner and outer layers, and the outer layer uses the Genetic Algorithm (GA). The integer variable is optimized, and the inner layer degenerates into an easier to solve nonlinear programming problem (NLP) after the integer variable is fixed. Based on this analysis, a variable selection method based on hybrid criteria is proposed. Then the subset of secondary variables obtained is substituted into BP neural network for soft sensor modeling. Finally, the proposed method is validated by four actual cases. The results show that the soft-measurement model established by the proposed method has better prediction performance.

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郭明,陳偉鋒.基于混合準則的軟測量建模輔助變量選擇方法計算機測量與控制[J].,2019,27(8):49-53.

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  • 收稿日期:2019-02-19
  • 最后修改日期:2019-02-25
  • 錄用日期:2019-02-26
  • 在線(xiàn)發(fā)布日期: 2019-08-13
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