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This paper describes a grey box model for the curl and twist of the carton board produced at AssiDomÄan FrÄovi, Sweden. The main equations are based on classical lamination theory of composite materials, and each constituent ply is considered as a macroscopic homogeneous, elastic medium. The model used data from June to September 2004, and shows a general agreement between predicted and measured curvatures. Regularization and backwards elimination were used to cope with the low identifability of the problem. The model was then complemented with a sub-model of immeasurable/unmodelled disturbances estimated with an extended Kalman filter.
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Curl Estimation in Multi-Ply Paperboard, 2005 Papermakers Conference