Semi-Supervised Hybrid Local Kernel Regression for Soft Sensor Modelling of Rubber-Mixing Process

Soft sensor techniques have been widely adopted in chemical industry to estimate important indices that cannot be online measured by hardware sensors. Unfortunately, due to the instinct time-variation, the small-sample condition and the uncertainty caused by the drifting of raw materials, it is exce...

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Main Authors: Haiqing Yu, Jun Ji, Ping Li, Fengjing Shao, Shunyao Wu, Yi Sui, Shujing Li, Fengjiao He, Jinming Liu
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Advances in Polymer Technology
Online Access:http://dx.doi.org/10.1155/2020/6981302
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spelling doaj-55896710cd654c0e86d4635e12ddfb642020-11-24T23:49:22ZengHindawi-WileyAdvances in Polymer Technology0730-66791098-23292020-01-01202010.1155/2020/69813026981302Semi-Supervised Hybrid Local Kernel Regression for Soft Sensor Modelling of Rubber-Mixing ProcessHaiqing Yu0Jun Ji1Ping Li2Fengjing Shao3Shunyao Wu4Yi Sui5Shujing Li6Fengjiao He7Jinming Liu8State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, ChinaCollege of Computer Science and Technology, Qingdao University, Qingdao, ChinaState Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, ChinaCollege of Computer Science and Technology, Qingdao University, Qingdao, ChinaCollege of Computer Science and Technology, Qingdao University, Qingdao, ChinaCollege of Computer Science and Technology, Qingdao University, Qingdao, ChinaCollege of Computer Science and Technology, Qingdao University, Qingdao, ChinaXiangYa School of Medicine, Central South University, Changsha, ChinaCollege of Computer Science and Technology, Qingdao University, Qingdao, ChinaSoft sensor techniques have been widely adopted in chemical industry to estimate important indices that cannot be online measured by hardware sensors. Unfortunately, due to the instinct time-variation, the small-sample condition and the uncertainty caused by the drifting of raw materials, it is exceedingly difficult to model the fed-batch processes, for instance, rubber internal mixing processing. Meanwhile, traditional global learning algorithms suffer from the outdated samples while online learning algorithms lack practicality since too many labelled samples of current batch are required to build the soft sensor. In this paper, semi-supervised hybrid local kernel regression (SHLKR) is presented to leverage both historical and online samples to semi-supervised model the soft sensor using proposed time-windows series. Moreover, the recursive formulas are deduced to improve its adaptability and feasibility. Additionally, the rubber Mooney soft sensor of internal mixing processing is implemented using real onsite data to validate proposed method. Compared with classical algorithms, the performance of SHLKR is evaluated and the contribution of unlabelled samples is discussed.http://dx.doi.org/10.1155/2020/6981302
collection DOAJ
language English
format Article
sources DOAJ
author Haiqing Yu
Jun Ji
Ping Li
Fengjing Shao
Shunyao Wu
Yi Sui
Shujing Li
Fengjiao He
Jinming Liu
spellingShingle Haiqing Yu
Jun Ji
Ping Li
Fengjing Shao
Shunyao Wu
Yi Sui
Shujing Li
Fengjiao He
Jinming Liu
Semi-Supervised Hybrid Local Kernel Regression for Soft Sensor Modelling of Rubber-Mixing Process
Advances in Polymer Technology
author_facet Haiqing Yu
Jun Ji
Ping Li
Fengjing Shao
Shunyao Wu
Yi Sui
Shujing Li
Fengjiao He
Jinming Liu
author_sort Haiqing Yu
title Semi-Supervised Hybrid Local Kernel Regression for Soft Sensor Modelling of Rubber-Mixing Process
title_short Semi-Supervised Hybrid Local Kernel Regression for Soft Sensor Modelling of Rubber-Mixing Process
title_full Semi-Supervised Hybrid Local Kernel Regression for Soft Sensor Modelling of Rubber-Mixing Process
title_fullStr Semi-Supervised Hybrid Local Kernel Regression for Soft Sensor Modelling of Rubber-Mixing Process
title_full_unstemmed Semi-Supervised Hybrid Local Kernel Regression for Soft Sensor Modelling of Rubber-Mixing Process
title_sort semi-supervised hybrid local kernel regression for soft sensor modelling of rubber-mixing process
publisher Hindawi-Wiley
series Advances in Polymer Technology
issn 0730-6679
1098-2329
publishDate 2020-01-01
description Soft sensor techniques have been widely adopted in chemical industry to estimate important indices that cannot be online measured by hardware sensors. Unfortunately, due to the instinct time-variation, the small-sample condition and the uncertainty caused by the drifting of raw materials, it is exceedingly difficult to model the fed-batch processes, for instance, rubber internal mixing processing. Meanwhile, traditional global learning algorithms suffer from the outdated samples while online learning algorithms lack practicality since too many labelled samples of current batch are required to build the soft sensor. In this paper, semi-supervised hybrid local kernel regression (SHLKR) is presented to leverage both historical and online samples to semi-supervised model the soft sensor using proposed time-windows series. Moreover, the recursive formulas are deduced to improve its adaptability and feasibility. Additionally, the rubber Mooney soft sensor of internal mixing processing is implemented using real onsite data to validate proposed method. Compared with classical algorithms, the performance of SHLKR is evaluated and the contribution of unlabelled samples is discussed.
url http://dx.doi.org/10.1155/2020/6981302
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