A parameter dispersion based global identification method and its application

Yuexuan Wang, Xiaoping Li, Cheng Wu, Xixiang Hu
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引用次数: 0

Abstract

Local identification method provides one point in the parametric space, which locally minimizes the criteria, the deviation of the object output and the model output. However, for process control system modeling, it often exists a set of points that satisfy to minimize the criteria. This paper proposed a global identification method, which is based on the local identification results to determine the upper bound and lower bound of the model parameters by parameter dispersion method. Then gradient projection is applied to search for the optimal projection direction and project the parameters surfaces on this direction, which is named as equidistance-projection. The application of parameters identification of industrial multiple-step batch polyvinyl chloride synthesis reaction control model shows that the proposed method is efficient and practical in dynamic process control system modeling.
一种基于参数色散的全局辨识方法及其应用
局部识别方法在参数空间中提供一个点,使准则、目标输出和模型输出的偏差局部最小。然而,在过程控制系统建模中,往往存在一组满足最小化准则的点。本文提出了一种全局辨识方法,该方法在局部辨识结果的基础上,利用参数色散法确定模型参数的上界和下界。然后利用梯度投影法寻找最优投影方向,将参数曲面投影在该方向上,称为等距投影。工业多步间歇聚氯乙烯合成反应控制模型参数辨识的应用表明,该方法在动态过程控制系统建模中是有效和实用的。
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