[1]吉文鹏,杨慧中.基于自适应等距映射算法的软测量建模[J].南京理工大学学报(自然科学版),2019,43(03):269-274.
 Ji Wenpeng,Yang Huizhong.Soft sensor modeling based on adaptive Isomap algorithm[J].Journal of Nanjing University of Science and Technology,2019,43(03):269-274.
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基于自适应等距映射算法的软测量建模()
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
43卷
期数:
2019年03期
页码:
269-274
栏目:
出版日期:
2019-06-30

文章信息/Info

Title:
Soft sensor modeling based on adaptive Isomap algorithm
文章编号:
1005-9830(2019)03-0269-06
作者:
吉文鹏杨慧中
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
Author(s):
Ji WenpengYang Huizhong
Key Laboratory of Advanced Process Control for Light Industry,Ministry of Education,Jiangnan University,Wuxi 214122,China
关键词:
自适应算法 等距映射算法 邻域图构造 欧氏距离 软测量 高斯过程回归
Keywords:
adaptive algorithm isometric mapping algorithm neighborhood graph construction Euclidean distance soft sensor Gaussian regression process
分类号:
TP274
摘要:
针对等距映射(Isomap)算法中的邻域图构造问题,提出1种自适应确定邻域的方法。利用欧氏距离计算样本相似系数。基于各样本的局部密度和平均密度构造密度指数函数。根据密度指数函数自适应调整样本的近邻数,构造合理的邻域图。采用高斯过程回归(GPR)建立模型。将该方法应用于某双酚A生产装置的软测量建模中。仿真结果表明,基于自适应Isomap算法建立的GPR模型比Isomap-GPR模型具有更高的估计精度,均方根误差减小了约15%。
Abstract:
An adaptive neighborhood construction method is proposed for the neighborhood graph construction in the isometric mapping(Isomap)algorithm. The sample similarity coefficient is calculated by using the Euclidean distance. A density exponential function is constructed based on the local density and average density of each sample. The neighbor number of samples is adjusted adaptively according to the density exponential function to construct a reasonable neighborhood graph. A model is developed by using the Gaussian process regression(GPR). This method is applied to the soft sensor modeling of a Bisphenol A production device. The simulation results show that the GPR model based on the adaptive Isomap algorithm has higher estimation accuracy than the Isomap-GPR model,and the root mean square error(RMSE)of the model is reduced by about 15%.

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备注/Memo

备注/Memo:
收稿日期:2018-08-28 修回日期:2018-10-09
基金项目:国家自然科学基金(61773181); 中央高校基本科研业务费专项资金(JUSRP51733B)
作者简介:吉文鹏(1993-),男,硕士生,主要研究方向:数据特征提取、软测量建模,E-mail:932077192@qq.com; 通讯作者:杨慧中(1955-),女,教授,主要研究方向:复杂过程建模和优化控制,E-mail:yhz_jn@163.com。
引文格式:吉文鹏,杨慧中. 基于自适应等距映射算法的软测量建模[J]. 南京理工大学学报,2019,43(3):269-274.
投稿网址:http://zrxuebao.njust.edu.cn
更新日期/Last Update: 2019-06-30