A Systematic Grey-Box Modeling Methodology via Data Reconciliation and SOS Constrained Regression

Developing the so-called grey box or hybrid models of limited complexity for process systems is the cornerstone in advanced control and real-time optimization routines. These models must be based on fundamental principles and customized with sub-models obtained from process experimental data. This a...

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Veröffentlicht in:	Processes Jg. 7; H. 3; S. 170
Hauptverfasser:	Pitarch, José, Sala, Antonio, de Prada, César
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Basel MDPI AG 23.03.2019
Schlagworte:	Algorithms Artificial intelligence Complexity Convexity Decision making Direct reduction Evaporation Integer programming Knowledge management Methodology Modelling Optimization Polynomials Process controls Regression United States > US Germany Spain
ISSN:	2227-9717, 2227-9717
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Abstract	Developing the so-called grey box or hybrid models of limited complexity for process systems is the cornerstone in advanced control and real-time optimization routines. These models must be based on fundamental principles and customized with sub-models obtained from process experimental data. This allows the engineer to transfer the available process knowledge into a model. However, there is still a lack of a flexible but systematic methodology for grey-box modeling which ensures certain coherence of the experimental sub-models with the process physics. This paper proposes such a methodology based in data reconciliation (DR) and polynomial constrained regression. A nonlinear optimization of limited complexity is to be solved in the DR stage, whereas the proposed constrained regression is based in sum-of-squares (SOS) convex programming. It is shown how several desirable features on the polynomial regressors can be naturally enforced in this optimization framework. The goodnesses of the proposed methodology are illustrated through: (1) an academic example and (2) an industrial evaporation plant with real experimental data.
AbstractList	Developing the so-called grey box or hybrid models of limited complexity for process systems is the cornerstone in advanced control and real-time optimization routines. These models must be based on fundamental principles and customized with sub-models obtained from process experimental data. This allows the engineer to transfer the available process knowledge into a model. However, there is still a lack of a flexible but systematic methodology for grey-box modeling which ensures certain coherence of the experimental sub-models with the process physics. This paper proposes such a methodology based in data reconciliation (DR) and polynomial constrained regression. A nonlinear optimization of limited complexity is to be solved in the DR stage, whereas the proposed constrained regression is based in sum-of-squares (SOS) convex programming. It is shown how several desirable features on the polynomial regressors can be naturally enforced in this optimization framework. The goodnesses of the proposed methodology are illustrated through: (1) an academic example and (2) an industrial evaporation plant with real experimental data.
Author	de Prada, César Pitarch, José Sala, Antonio
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SubjectTerms	Algorithms Artificial intelligence Complexity Convexity Decision making Direct reduction Evaporation Integer programming Knowledge management Methodology Modelling Optimization Polynomials Process controls Regression
Title	A Systematic Grey-Box Modeling Methodology via Data Reconciliation and SOS Constrained Regression
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