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Integral approach to plant linear dynamic reconciliation
Author(s) -
Bagajewicz Miguel J.,
Jiang Qiyou
Publication year - 1997
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.690431016
Subject(s) - contrast (vision) , algebraic equation , differential algebraic equation , polynomial , statistic , mathematics , system of linear equations , integral equation , differential equation , linear differential equation , differential (mechanical device) , linear system , algebraic number , computer science , nonlinear system , ordinary differential equation , mathematical analysis , statistics , physics , quantum mechanics , artificial intelligence , thermodynamics
An integral method is proposed that performs dynamic data reconciliation on linear systems, in contrast with recent methods that utilize differential algebraic equations. The differential equations representing this system are first rearranged to obtain a system of equations containing only redundant measurements. These equations are formally integrated using polynomial approximations, and the reconciliation is then performed using analytical solutions. A new statistic to detect gross errors is proposed, and a procedure to detect biased measurement is presented.