POD a-posteriori error estimates for linear-quadratic optimal control problems
نویسندگان
چکیده
منابع مشابه
POD a-posteriori error estimates for linear-quadratic optimal control problems
The main focus of this paper is on an a-posteriori analysis for the method of proper orthogonal decomposition (POD) applied to optimal control problems governed by parabolic and elliptic PDEs. Based on a perturbation method it is deduced how far the suboptimal control, computed on the basis of the POD model, is from the (unknown) exact one. Numerical examples illustrate the realization of the p...
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Zusammenfassung Die vorliegende Masterarbeit behandelt die numerische Lösung linear-quadratischer Optimalsteuerungsprobleme mittels " optimality system POD " (OSPOD) und POD a-posteriori Fehlerschätzer. Ausgangspunkt ist die Modellreduktion mit einem klassischen POD Galerkin Ansatz, wobei die Güte des reduzierten Modells durch den a-posteriori Fehler in der Steuerung sehr gut geschätzt werden k...
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We derive a-posteriori error estimates for control-constrained, linear-quadratic optimal control problems. The error is measured in a norm which is motivated by the objective. Our abstract error estimator is separated into three contributions: the error in the variational inequality (i.e., in the optimality condition for the control) and the errors in the state and adjoint equation. Hence, one ...
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متن کاملOptimality system POD and a-posteriori error analysis for linear-quadratic problems
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 b...
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ژورنال
عنوان ژورنال: Computational Optimization and Applications
سال: 2008
ISSN: 0926-6003,1573-2894
DOI: 10.1007/s10589-008-9224-3