基于主元相似度的间歇过程操作曲线递推优化

doi:10.11949/j.issn.0438-1157.20161797

化工学报 ›› 2017, Vol. 68 ›› Issue (7): 2859-2865.DOI: 10.11949/j.issn.0438-1157.20161797

基于主元相似度的间歇过程操作曲线递推优化

仇力, 栾小丽, 刘飞

江南大学轻工过程先进控制教育部重点实验室, 江苏无锡 214122

收稿日期:2016-12-23 修回日期:2017-03-30 出版日期:2017-07-05 发布日期:2017-07-05
通讯作者: 栾小丽
基金资助:
国家自然科学基金项目（61473137）。

A recursive optimization method for batch process trajectories based on similarity of principal components

QIU Li, LUAN Xiaoli, LIU Fei

Key Laboratory of Advanced Process Control for Light Industry of the Ministry of Education, Jiangnan University,Wuxi 214122, Jiangsu, China

Received:2016-12-23 Revised:2017-03-30 Online:2017-07-05 Published:2017-07-05
Contact: 10.11949/j.issn.0438-1157.20161797
Supported by:
supported by the National Natural Science Foundation of China (61473137).

摘要/Abstract

摘要：

针对一类较长周期的间歇过程操作优化问题，提出了一种基于正常运行批次的数据驱动型操作曲线递推优化方法。首先采用分段离散化方法将原非线性优化问题转化为线性优化问题，再利用主元分析对离散化后的高维时段变量进行降维处理，然后在降维后的主元平面中，基于时段变量与最终产品指标间的余弦相似度，实现对原操作曲线的摄动优化。考虑到时段变量方差和相似度随批次会发生变化，建立了递推算法以实现操作曲线的递推更新。最后将该方法应用于某化工产品的间歇结晶过程中，结果验证了所提方法的有效性。

关键词: 间歇过程, 操作轨迹优化, 主元分析, 余弦相似度, 递推算法

Abstract:

A recursive optimization method for data-driven operating trajectory, which was based on daily normal operation batches, was proposed for long cycle batch processes. First, original nonlinear optimization was simplified to a high dimensional linear optimization by segmented discretization and high dimensional segmented variables were transformed into lower dimensional one by PCA (principal component analysis) algorithm. Then, snapshot optimization for original operating trajectory was performed according to cosine similarity between time-segmented variables in dimensionality-reduced principal element plane and performance index of the final products. Finally, recursive algorithm for trajectory optimization was developed by consideration of changes in square errors and similarity of time-segmented variables between batches. Application to a batch crystallization process has illustrated effectiveness of this method.

Key words: batch processes, trajectory optimization, PCA, cosine similarity, recursive algorithm

中图分类号:

TP273

仇力, 栾小丽, 刘飞. 基于主元相似度的间歇过程操作曲线递推优化[J]. 化工学报, 2017, 68(7): 2859-2865.

QIU Li, LUAN Xiaoli, LIU Fei. A recursive optimization method for batch process trajectories based on similarity of principal components[J]. CIESC Journal, 2017, 68(7): 2859-2865.

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基于主元相似度的间歇过程操作曲线递推优化

A recursive optimization method for batch process trajectories based on similarity of principal components

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