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Nonlinear model predictive control of the temperature profile of a glass forming process based on a finite element model

: Petereit, Janko

Postprint urn:nbn:de:0011-n-2061653 (698 KByte PDF)
MD5 Fingerprint: 5a4e65af5e1a7527b8317480fe0f89ac
Erstellt am: 26.6.2012

VDI/VDE-Gesellschaft Meß- und Automatisierungstechnik -GMA-, Düsseldorf:
Automation 2012. 13. Branchentreff der Mess- und Automatisierungstechnik : Kongresshaus Baden-Baden, 13. und 14. Juni 2012
Düsseldorf: VDI-Verlag, 2012 (VDI-Berichte 2171)
ISBN: 978-3-18-092171-6
ISSN: 0083-5560
Kongress Automation <2012, Baden-Baden>
Branchentreff der Mess- und Automatisierungstechnik <13, 2012, Baden-Baden>
Konferenzbeitrag, Elektronische Publikation
Fraunhofer IOSB ()

The control of complex forming processes (e.g. glass forming processes) is a challenging topic due to the mostly strongly nonlinear behavior and the spatial distributed nature of the process. In this paper a new approach for the real-time control of a spatial distributed temperature profile of an industrial glass forming process is presented. As the temperature in the forming zone cannot be measured directly, it is estimated by the numerical solution of the partial differential equation for heat transfer by a finite element scheme. As the dimension of the state space model, which is yield by the Finite Element algorithm, is too large for realtime optimization, a model reduction concept has been developed. The numerical solution of the optimization problem is performed by the solver HQP (Huge Quadratic Programming). Results of the NMPC concept are compared with conventional PI control results. It is shown that NMPC stabilizes the temperature of the forming zone much better than PI control. The proposed NMPC scheme is robust against model mismatch of the disturbance model. Furthermore, the allowed parameter settings for a real-time application (i.e. control horizon, sampling period) have been determined. The approach can easily be adapted to other forming processes where the temperature profile shall be controlled.