Linear-Quadratic Regulator Design for Optimal Cooling of Steel Profiles

• Main Authors: Benner, Peter, Saak, Jens
• Other Authors: TU Chemnitz, SFB 393
• Format: Others
• Language: English
• Published: Universitätsbibliothek Chemnitz 2006
• Subjects: boundary control; dynamical linear systems; feedback control; ddc:510; Approximationsalgorithmus; Riccati-Differentialgleichung; Wärmeleitungsgleichung
• Online Access: http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601597; http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601597; http://www.qucosa.de/fileadmin/data/qucosa/documents/5272/data/index.html; http://www.qucosa.de/fileadmin/data/qucosa/documents/5272/data/.htaccess; http://www.qucosa.de/fileadmin/data/qucosa/documents/5272/data/SFBcov.png; http://www.qucosa.de/fileadmin/data/qucosa/documents/5272/data/pdf.gif; http://www.qucosa.de/fileadmin/data/qucosa/documents/5272/data/pre.css; http://www.qucosa.de/fileadmin/data/qucosa/documents/5272/data/ps.gif; http://www.qucosa.de/fileadmin/data/qucosa/documents/5272/data/sfb05-05.pdf; http://www.qucosa.de/fileadmin/data/qucosa/documents/5272/data/sfb05-05.ps.bz2; http://www.qucosa.de/fileadmin/data/qucosa/documents/5272/data/sfb05-05.ps.gz; http://www.qucosa.de/fileadmin/data/qucosa/documents/5272/20060159.txt

We present a linear-quadratic regulator (LQR) design for a heat transfer model describing the cooling process of steel profiles in a rolling mill. Primarily we consider a feedback control approach for a linearization of the nonlinear model given there, but we will also present first ideas how to use local (in time) linearizations to treat the nonlinear equation with a regulator approach. Numerical results based on a spatial finite element discretization and a numerical algorithm for solving large-scale algebraic Riccati equations are presented both for the linear and nonlinear models.