Nonlinear Fault Separation for Redundancy Process Variables Based on FNN in MKFDA Subspace

Nonlinear faults are difficultly separated for amounts of redundancy process variables in process industry. This paper introduces an improved kernel fisher distinguish analysis method (KFDA). All the original process variables with faults are firstly optimally classified in multi-KFDA (MKFDA) subspa...

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Main Authors: Ying-ying Su, Shan Liang, Jing-zhe Li, Xiao-gang Deng, Tai-fu Li, Cheng Zeng
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/729763
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author Ying-ying Su
Shan Liang
Jing-zhe Li
Xiao-gang Deng
Tai-fu Li
Cheng Zeng
author_facet Ying-ying Su
Shan Liang
Jing-zhe Li
Xiao-gang Deng
Tai-fu Li
Cheng Zeng
author_sort Ying-ying Su
collection DOAJ
description Nonlinear faults are difficultly separated for amounts of redundancy process variables in process industry. This paper introduces an improved kernel fisher distinguish analysis method (KFDA). All the original process variables with faults are firstly optimally classified in multi-KFDA (MKFDA) subspace to obtain fisher criterion values. Multikernel is used to consider different distributions for variables. Then each variable is eliminated once from original sets, and new projection is computed with the same MKFDA direction. From this, differences between new Fisher criterion values and the original ones are tested. If it changed obviously, the effect of eliminated variable should be much important on faults called false nearest neighbors (FNN). The same test is applied to the remaining variables in turn. Two nonlinear faults crossed in Tennessee Eastman process are separated with lower observation variables for further study. Results show that the method in the paper can eliminate redundant and irrelevant nonlinear process variables as well as enhancing the accuracy of classification.
format Article
id doaj-art-797c3365bbfd45cf9a0c0339af09ecf2
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-797c3365bbfd45cf9a0c0339af09ecf22025-08-20T03:35:23ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/729763729763Nonlinear Fault Separation for Redundancy Process Variables Based on FNN in MKFDA SubspaceYing-ying Su0Shan Liang1Jing-zhe Li2Xiao-gang Deng3Tai-fu Li4Cheng Zeng5College of Automation, Chongqing University, Chongqing 400044, ChinaCollege of Automation, Chongqing University, Chongqing 400044, ChinaSchool of Safety Engineering, Chongqing University of Science and Technology, Chongqing 401331, ChinaCollege of Mechanical and Power Engineering, Chongqing University of Science and Technology, Chongqing 401331, ChinaSchool of Electrical and Information Engineering, Chongqing University of Science and Technology, Chongqing 401331, ChinaCollege of Automation, Chongqing University, Chongqing 400044, ChinaNonlinear faults are difficultly separated for amounts of redundancy process variables in process industry. This paper introduces an improved kernel fisher distinguish analysis method (KFDA). All the original process variables with faults are firstly optimally classified in multi-KFDA (MKFDA) subspace to obtain fisher criterion values. Multikernel is used to consider different distributions for variables. Then each variable is eliminated once from original sets, and new projection is computed with the same MKFDA direction. From this, differences between new Fisher criterion values and the original ones are tested. If it changed obviously, the effect of eliminated variable should be much important on faults called false nearest neighbors (FNN). The same test is applied to the remaining variables in turn. Two nonlinear faults crossed in Tennessee Eastman process are separated with lower observation variables for further study. Results show that the method in the paper can eliminate redundant and irrelevant nonlinear process variables as well as enhancing the accuracy of classification.http://dx.doi.org/10.1155/2014/729763
spellingShingle Ying-ying Su
Shan Liang
Jing-zhe Li
Xiao-gang Deng
Tai-fu Li
Cheng Zeng
Nonlinear Fault Separation for Redundancy Process Variables Based on FNN in MKFDA Subspace
Journal of Applied Mathematics
title Nonlinear Fault Separation for Redundancy Process Variables Based on FNN in MKFDA Subspace
title_full Nonlinear Fault Separation for Redundancy Process Variables Based on FNN in MKFDA Subspace
title_fullStr Nonlinear Fault Separation for Redundancy Process Variables Based on FNN in MKFDA Subspace
title_full_unstemmed Nonlinear Fault Separation for Redundancy Process Variables Based on FNN in MKFDA Subspace
title_short Nonlinear Fault Separation for Redundancy Process Variables Based on FNN in MKFDA Subspace
title_sort nonlinear fault separation for redundancy process variables based on fnn in mkfda subspace
url http://dx.doi.org/10.1155/2014/729763
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AT shanliang nonlinearfaultseparationforredundancyprocessvariablesbasedonfnninmkfdasubspace
AT jingzheli nonlinearfaultseparationforredundancyprocessvariablesbasedonfnninmkfdasubspace
AT xiaogangdeng nonlinearfaultseparationforredundancyprocessvariablesbasedonfnninmkfdasubspace
AT taifuli nonlinearfaultseparationforredundancyprocessvariablesbasedonfnninmkfdasubspace
AT chengzeng nonlinearfaultseparationforredundancyprocessvariablesbasedonfnninmkfdasubspace