Publikationstyp: | Working Paper/Technical Report |
URI (zitierfähiger Link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-153602 |
Autor/innen: | Volkwein, Stefan |
Erscheinungsjahr: | 2011 |
Schriftenreihe: | Konstanzer Schriften in Mathematik ; 291 |
Zusammenfassung: |
In this paper an abstract linear-quadratic optimal control problem governed by an evolution equation is considered. To solve this problem numerically a reduced-order approach based on proper orthogonal decomposition (POD) is applied. The error between the POD suboptimal control and the optimal control of the original problem is controlled by an a-posteriori error analysis. However, if the POD basis has bad approximation properties, a huge number of POD basis function is required to solve the reduced-order problem with the desired accuracy. To overcome this problem optimality system POD (OS-POD) is utilized, where the POD basis is chosen with respect to the optimization criteria.
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Fachgebiet (DDC): | 510 Mathematik |
Schlagwörter: | Optimal control, model reduction, proper orthogonal decomposition, a-posteriori error estimates, optimality system POD |
Link zur Lizenz: | Nutzungsbedingungen |
Universitätsbibliographie: | Ja |
VOLKWEIN, Stefan, 2011. Optimality system POD and a-posteriori error analysis for linear-quadratic problems
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Volkwein_Optimality.pdf | 109 |