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Window-Based Stepwise Sequential Phase Partition for Nonlinear Batch Process Monitoring

Lookup NU author(s): Dr Jie ZhangORCiD



This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).


In this paper a window-based step-wise sequential phase partition method is proposed to improve monitoring performance for nonlinear batch processes with multiphase operations. The three-dimensional information matrix of batch operation is unfolded and normalized in the batch-wise direction to facilitate establishing the kernel principle component analysis (KPCA) models for phase partition. A moving window is introduced to improve the partition performance with respect to the process dynamics and time sequence for operation. Consequently, phase partition algorithms are developed for even- and uneven-length batch processes, respectively. Moreover, a traversal algorithm is given to determine the optimal choice of the KPCA parameters and the window size for phase partition. A numerical case and two industrial multiphase processes of injection molding and penicillin fermentation are used to demonstrate the effectiveness and merit of the proposed phase partition method.

Publication metadata

Author(s): Liu J, Liu T, Zhang J

Publication type: Article

Publication status: Published

Journal: Industrial & Engineering Chemistry Research

Year: 2016

Volume: 55

Issue: 34

Pages: 9229-9243

Online publication date: 24/07/2016

Acceptance date: 13/07/2016

Date deposited: 16/08/2016

ISSN (print): 0888-5885

ISSN (electronic): 1520-5045

Publisher: American Chemical Society


DOI: 10.1021/acs.iecr.6b01257


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Funder referenceFunder name
Fundamental Research Funds for the Central Universities of China
National Thousand Talents Program of China
61473054NSF China
PIRSES-GA-2013-612230EU FP7