RT info:eu-repo/semantics/article T1 A systematic grey-box modeling methodology via data reconciliation and SOS constrained regression A1 Pitarch Pérez, José Luis A1 Sala, Antonio A1 Prada Moraga, César de K1 Machine learning K1 Aprendizaje automático K1 Process modeling K1 Modelado de procesos AB 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. PB MDPI SN 2227-9717 YR 2019 FD 2019 LK https://uvadoc.uva.es/handle/10324/56016 UL https://uvadoc.uva.es/handle/10324/56016 LA eng NO Processes, 2019, vol. 7, n. 3, 170 NO Producción Científica DS UVaDOC RD 20-may-2024