z-logo
Premium
Statistical monitoring of multivariable dynamic processes with state‐space models
Author(s) -
Negiz Antoine,
Çlinar Ali
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.690430810
Subject(s) - multivariable calculus , autocorrelation , autoregressive model , state space , mathematics , statistical process control , state space representation , state variable , statistic , state vector , statistical model , process (computing) , statistics , computer science , algorithm , engineering , control engineering , physics , classical mechanics , thermodynamics , operating system
Industrial continuous processes may have a large number of process variables and are usually operated for extended periods at fixed operating points under closed‐loop control, yielding process measurements that are autocorrelated, cross‐correlated, and collinear. A statistical process monitoring (SPM) method based on multivariate statistics and system theory is introduced to monitor the variability of such processes. The statistical model that describes the in‐control variability is based on a canonical‐variate (CV) state‐space model that is an equivalent representation of a vector autoregressive moving‐average time‐series model. The CV state variables obtained from the state‐space model are linear combinations of the past process measurements that explain the variability of the future measurements the most. Because of this distinctive feature, the CV state variables are regarded as the principal dynamic directions A T 2 statistic based on the CV state variables is used for developing an SPM procedure. Simple examples based on simulated data and an experimental application based on a high‐temperature short‐time milk pasteurization process illustrate advantages of the proposed SPM method.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here