A process monitoring method for autoregressive-dynamic inner total latent structure projection

doi:10.23919/JSEE.2024.000105

Journal of Systems Engineering and Electronics ›› 2024, Vol. 35 ›› Issue (5): 1326-1336.doi: 10.23919/JSEE.2024.000105

• CONTROL THEORY AND APPLICATION • Previous Articles

A process monitoring method for autoregressive-dynamic inner total latent structure projection

Yalin CHEN¹^,²(), Xiangyu KONG¹^,*(), Jiayu LUO¹()

¹ School of Missile Engineering, Rocket Force University of Engineering, Xi’an 710025, China
² AVIC Chengdu Caic Electronics Co., Ltd, Chengdu 610091, China

Received:2022-11-07 Accepted:2023-11-24 Online:2024-10-18 Published:2024-11-06
Contact: Xiangyu KONG E-mail:cyl2318959445@163.com;xiangyukong01@163.com;540629964@qq.com
About author:
CHEN Yalin was born in 1997. She received her B.E. degree from Henan Institute of Technology, Xinxiang, China, in 2020, and M.E. degree in control engineering from Rocket Force University of Engineering, Xi’an, China, in 2005. Her research interests include dynamic feature extraction and multivariate statistical process monitoring. E-mail: cyl2318959445@163.com

KONG Xiangyu was born in 1967. He received his B.E. degree from the Beijing Institute of Technology, Beijing, China, in 1990, M.E. degree from the High-Tech Institute of Xi’an, Xi’an, China, in 2000, and Ph.D. degree in control science and engineering from Xi’an Jiaotong University, Xi’an, in 2005. He is currently a professor with the High-Tech Institute of Xi’an. His research interests include adaptive signal processing, system modeling, and fault diagnosis. E-mail: xiangyukong01@163.com

LUO Jiayu was born in 1994. He received his B.E. degree from Hunan University, Changsha, China, in 2017, and M.E. degree from the High-Tech Institute of Xi’an, Xi’an, China, in 2019, where he is currently pursuing his Ph.D. degree with the High-Tech Institute of Xi’an. His research interests include feature extraction and process monitoring. E-mail: 540629964@qq.com
Supported by:
This work was supported by the National Natural Science Foundation of China (62273354; 61673387; 61833016).

Abstract

Abstract:

As a dynamic projection to latent structures (PLS) method with a good output prediction ability, dynamic inner PLS (DiPLS) is widely used in the prediction of key performance indicators. However, due to the oblique decomposition of the input space by DiPLS, there are false alarms in the actual industrial process during fault detection. To address the above problems, a dynamic modeling method based on autoregressive-dynamic inner total PLS (AR-DiTPLS) is proposed. The method first uses the regression relation matrix to decompose the input space orthogonally, which reduces useless information for the prediction output in the quality-related dynamic subspace. Then, a vector autoregressive model (VAR) is constructed for the prediction score to separate dynamic information and static information. Based on the VAR model, appropriate statistical indicators are further constructed for online monitoring, which reduces the occurrence of false alarms. The effectiveness of the method is verified by a Tennessee-Eastman industrial simulation process and a three-phase flow system.

Key words: dynamic characteristic, fault detection, feature extraction, process monitoring, projection to latent structure (PLS), quality-related, spatial partitioning

Yalin CHEN, Xiangyu KONG, Jiayu LUO. A process monitoring method for autoregressive-dynamic inner total latent structure projection[J]. Journal of Systems Engineering and Electronics, 2024, 35(5): 1326-1336.

Figures/Tables 13

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Subspace	Dimension	Description
$ {{\boldsymbol{S}}_y} $	${{{A}}_y}$	A predictable mass-dependent dynamic subspace in X-space
$ {{\boldsymbol{S}}_r} $	${{{A}}_r}$	Irrelevant subspaces in the predictable dynamic space of X that do not contribute to the predicted output
$ {{\boldsymbol{S}}_{{\mathrm{er}}}} $	${{A}} - {{{A}}_y} - {{{A}}_r}$	A noisy subspace in the predictable dynamic space of X
$ {{\boldsymbol{S}}_{{\mathrm{ep}}}} $	${{m}} - {{A}}$	Unpredictable subspaces in X space

Fault	DMPLS		DTPLS			AR-DiTPLS
Fault	$T_{y\_{\rm{new}}}^2$	${Q_{r\_{\rm{new}}} }$	$T_{y\_{\rm{new}}}^2$	$T_{r\_{\rm{new}}}^2$	${Q_{r\_{\rm{new}}} }$	$T_{y\_{\rm{new}}}^2$	$T_{r\_{\rm{new}}}^2$	${Q_{r\_{\rm{new}}} }$
1	84.77	98.63	99.00	99.87	99.25	99.00	34.96	99.75
2	98.25	96.75	97.87	98.75	98.38	92.1	89.47	98.62
5	99.50	60.80	15.41	35.97	13.50	29.57	14.41	24.28
6	99.75	99.63	97.37	99.62	99.38	99.62	97.74	100.0
7	56.18	35.33	28.20	100.0	100.0	39.34	22.68	100.0
8	72.78	92.01	72.18	98.12	91.25	83.08	67.42	98.00
10	80.27	26.97	10.78	31.08	08.00	36.21	07.27	31.91
12	93.38	95.38	71.55	98.62	84.38	88.97	67.92	98.37
13	83.65	90.89	88.47	95.99	94.75	91.97	81.95	94.74

Fault	DMPLS		DTPLS			AR-DiTPLS
Fault	$T_{y\_{\rm{new}}}^2$	${Q_{r\_{\rm{new}}} }$	$T_{y\_{\rm{new}}}^2$	$T_{r\_{\rm{new}}}^2$	${Q_{r\_{\rm{new}}} }$	$T_{y\_{\rm{new}}}^2$	$T_{r\_{\rm{new}}}^2$	${Q_{r\_{\rm{new}}} }$
3	4.24	2.50	9.02	17.04	4.00	3.50	1.88	1.75
4	11.36	2.12	6.77	69.67	87.88	2.38	100.0	88.74
9	4.12	2.00	9.40	14.91	5.63	1.38	2.38	1.63
11	10.61	10.24	12.16	64.66	64.75	1.63	64.41	63.08
15	2.50	4.87	10.03	16.04	5.75	3.38	2.50	5.26

Variable	Location	Specific description
$ {X_1} $/MPa	PT408	Differential pressure at the top
$ {X_2} $/(kg/s)	FT407	Top traffic
$ {X_3} $/m	LI405	Top of the stage separator
$ {X_4} $/(kg/s)	FT406	Output of top separator
$ {X_5} $/(kg/s)	LI504	Gas and liquid three-phase separator
$ {X_6} $/%	VC501	VC501 valve location
$ {X_7} $/%	VC302	VC302 valve location
$ {X_8} $/A	PO1	The size of the pump current
$ Y $/(kg/m³)	FT407	Highest density upper riser

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A process monitoring method for autoregressive-dynamic inner total latent structure projection

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