A multi-way LPV modeling method for batch processes. (May 2018)

• Record Type: Journal Article
• Authors: Zhao, Zhonggai; Wang, Youqin; Liu, Fei
• Is Part Of: Journal of process control. Volume 65(2018)
• Page Start: 56
• Page End: 67
• Publication Date: 2018-05
• Subjects: Linear parameter varying (LPV) -- Batch process -- Multi-way -- Nonlinear model; Process control -- Periodicals; Fabrication -- Contrôle -- Périodiques; Process control; Periodicals; Electronic journals; 660.281
• DOI: 10.1016/j.jprocont.2017.10.007
• Languages: English
• ISSNs: 0959-1524

Abstract

Highlights: We propose a multi-way LPV (MLPV) modeling approach to describe a whole batch process rather than a single batch run. Both the variation among the batch runs and the dynamics within each batch run are summarized in the MLPV model development. Abstract: By several simple local linear models a complex nonlinear process can be well approximated, so the linear parameter varying (LPV) method can largely simplify the complexity of model development and is widely used in the continuous process. Directly employing the regular LPV method in batch processes may develop a model for a single batch run; however, a whole batch process usually covers a number of batch runs. To develop a model for the whole batch process, this paper proposes a multi-way LPV (MLPV) approach for batch process modeling. In the proposed MLPV method, a sample is constructed by the measurements of all batch runs at each sampling instant. Comparing with the regular LPV model, the MLPV method extends the input, output and scheduling variables along the time dimension to along both the time dimension and the batch dimension. Then, the regular LPV method is performed on these "extended" samples according to the "extended" scheduling variable, by which both the variation among the batch runs and the dynamics within each batch run are summarized in the model development. The application of the MLPV method in three cases illustrates its advantages.