Nonlinear Fault Separation for Redundancy Process Variables Based on FNN in MKFDA Subspace
Author(s) -
Yingying Su,
Liang Shan,
LI Jing-zhe,
Xiaogang Deng,
Taifu Li,
Cheng Zeng
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/729763
Subject(s) - subspace topology , nonlinear system , redundancy (engineering) , mathematics , projection (relational algebra) , variable (mathematics) , process (computing) , multivariable calculus , kernel (algebra) , fault detection and isolation , algorithm , computer science , pattern recognition (psychology) , artificial intelligence , statistics , discrete mathematics , engineering , mathematical analysis , physics , quantum mechanics , control engineering , operating system , actuator
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
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