Soft-sensor modeling of silicon content in hot metal based on sparse robust LS-SVR and multi-objective optimization
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摘要: 針對高爐煉鐵過程的關鍵工藝指標——鐵水硅含量[Si]難以直接在線檢測且化驗過程滯后的問題,提出一種基于稀疏化魯棒最小二乘支持向量機(R-S-LS-SVR)與多目標遺傳參數優化的鐵水[Si]動態軟測量建模方法.首先,針對標準最小二乘支持向量機(LS-SVR)的拉格朗日乘子與誤差項成正比導致最終解缺少稀疏性的問題,提取樣本數據在特征空間映射集的極大無關組來實現訓練樣本集的稀疏化,降低建模的計算復雜度;其次,標準最小二乘支持向量機的目標函數魯棒性不足的問題將IGGⅢ加權函數引入稀疏化后的最小二乘支持向量機模型進行魯棒性改進,得到魯棒性較強的稀疏化魯棒最小二乘支持向量機模型;最后,針對常規均方根誤差評價模型性能的不足,提出從建模誤差與估計趨勢評價建模性能的多目標評價指標.在此基礎上,利用非支配排序的帶有精英策略的多目標遺傳算法優化模型參數,從而獲得具有最優參數的鐵水[Si]在線軟測量模型.工業實驗及比較分析驗證了所提方法的有效性和先進性.Abstract: To solve the problem that the parameter of silicon content ([Si]) in hot mental is difficult to be directly detected and obtained by manual analysis with large time delay, a method of sparse and robust least squares support vector regression (R-S-LS-SVR) was proposed to establish a dynamic model of[Si] with the help of the multi-objective genetic optimization of model parame-ters. First, owing to the issue that the Lagrange multiplier of the standard least squares support vector machine (LS-SVR) is directly proportional to the error term and solves the lack of sparsity, the maximal independent set of sample data in the feature space mapping set was extracted to realize the sparse of the training sample set and reduce the computational complexity of modeling. Next, in view of the problem that the standard least squares support vector machine has no regularization term, a method to improve the modeling ro-bustness was proposed by introducing the IGGⅢ weighting function into the obtained sparse least squares support vector regression (S-LS-SVR) model. Last, the multi-objective evaluation index that synthesizes the modeling residue and the estimated trend was presented to compensate for the deficiency of the single root mean square error (RMSE) index. Based on those, an on-line soft sensor model of hot metal[Si] with the optimal parameters was obtained by using the multi-objective genetic algorithm (NSGA-Ⅱ) with the non-dominated sort and elitist strategy. Industrial verification and analysis show the effectiveness and superiority of the proposed method.
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