State and parameter estimation based on extent transformations

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This work presents a general sequential parameter-and-state estimation structure based on extents transformations for non-isothermal homogeneous reaction systems. The extents transformations allow for the development of a Linear Parameter-Varying (LPV) representation with a diagonal state matrix. The particular structure of the LVP system matrices and the physical interpretation of its parameters are used to propose an asymptotic estimator. The main advantage of this estimator is that its implementation does not depend on the chemical kinetic parameters. Based on the information given by the asymptotic estimators, two additional estimators are proposed: an adaptive estimator, and a Recursive Least Squares (RLS) estimator. The first one is used to estimate the chemical reaction rate, while the second to estimate the kinetic parameters. Convergence and tuning properties of the final structure are analyzed and tested on a CSTR example.

Original languageEnglish
Title of host publicationProceedings of the 13th International Symposium on Process System Engineering
EditorsMario R. Eden, Marianthi G. Ierapetritou, Gavin P. Towler
Number of pages6
Publication statusPublished - Jul 2018
Event13th International Symposium on Process Systems Engineering (PSE 2018) - Manchester Grand Hyatt, San Diego, United States
Duration: 1 Jul 20185 Jul 2018

Publication series

NameComputer Aided Chemical Engineering
ISSN (Print)1570-7946


Conference13th International Symposium on Process Systems Engineering (PSE 2018)
Abbreviated titlePSE 2018
Country/TerritoryUnited States
CitySan Diego


  • Extents transformations
  • Linear Parameter Varying (LPV) Systems
  • Non-isothermal Homogeneous Reaction Systems
  • State and parameter estimation


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