Premium
Simulation, model‐reduction, and state estimation of a two‐component coagulation process
Author(s) -
Hashemian Negar,
Armaou Antonios
Publication year - 2016
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.15146
Subject(s) - linearization , mathematics , reduction (mathematics) , nonlinear system , estimator , state variable , monte carlo method , computation , representation (politics) , mathematical optimization , model order reduction , control theory (sociology) , computer science , algorithm , projection (relational algebra) , statistics , physics , geometry , control (management) , quantum mechanics , artificial intelligence , politics , political science , law , thermodynamics
The issue of state estimation of an aggregation process through (1) using model reduction to obtain a tractable approximation of the governing dynamics and (2) designing a fast moving‐horizon estimator for the reduced‐order model is addressed. The method of moments is first used to reduce the governing integro‐differential equation down to a nonlinear ordinary differential equation. This reduced‐order model is then simulated for both batch and continuous processes and the results are shown to agree with constant Number Monte Carlo simulation results of the original model. Next, the states of the reduced order model are estimated in a moving horizon estimation approach. For this purpose, Carleman linearization is first employed and the nonlinear system is represented in a bilinear form. This representation lessens the computation burden of the estimation problem by allowing for analytical solution of the state variables as well as sensitivities with respect to decision variables. © 2016 American Institute of Chemical Engineers AIChE J , 62: 1557–1567, 2016