Title

MODELING AND SIMULATION OF SENDZIMIR MILL SHAPE CONTROL ACTUATION SENSITIVITIES AND CAPABILITIES ENVELOPE WITH APPLICATIONS TO MULTIVARIABLE SHAPE CONTROL

MODELING AND SIMULATION OF SENDZIMIR MILL SHAPE CONTROL ACTUATION SENSITIVITIES AND CAPABILITIES ENVELOPE WITH APPLICATIONS TO MULTIVARIABLE SHAPE CONTROL

Authorship

Zipf, Mark E.; Godwin, Craig K.; Wisti, David R.

Zipf, Mark E.

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Godwin, Craig K.

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Wisti, David R.

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DOI

10.5151/2594-5297-2006-14026-0095

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Abstract

Intuitive decoupled notions of Sendzimir mill shape control actuator behavior do not properly depict the highly coupled, non-linear response characteristics. If applied to closed-loop shape controls, these improper notions lead to poor shape control performance and rapid infringement on actuator control limits. Accurate, fully coupled, non-linear internal models of the true actuator spatial sensitivity functions must be applied to multivariable shape controls for stable behavior to be realized. The mill’s shape control actuation capabilities envelope must be considered when assessing the mill’s ability to accommodate various classes of inbound shape distortions and stress distribution targets. This paper examines methods used to obtain accurate representations of the actual sensitivity functions and their mapping into the spatial context of the multivariable controls. First principle models and simulation studies are correlated with on-line shape control reactions to develop fully coupled control models that are directly applicable to singular value decomposition techniques. Real-world field studies of these modeling efforts are presented. The resulting models are embedded in singular value decomposition frameworks to create usable closed-loop controls.

Intuitive decoupled notions of Sendzimir mill shape control actuator behavior do not properly depict the highly coupled, non-linear response characteristics. If applied to closed-loop shape controls, these improper notions lead to poor shape control performance and rapid infringement on actuator control limits. Accurate, fully coupled, non-linear internal models of the true actuator spatial sensitivity functions must be applied to multivariable shape controls for stable behavior to be realized. The mill’s shape control actuation capabilities envelope must be considered when assessing the mill’s ability to accommodate various classes of inbound shape distortions and stress distribution targets. This paper examines methods used to obtain accurate representations of the actual sensitivity functions and their mapping into the spatial context of the multivariable controls. First principle models and simulation studies are correlated with on-line shape control reactions to develop fully coupled control models that are directly applicable to singular value decomposition techniques. Real-world field studies of these modeling efforts are presented. The resulting models are embedded in singular value decomposition frameworks to create usable closed-loop controls.

Keywords

Multivariable shape control

Multivariable shape control