Optimality system POD and a-posteriori error analysis for linear-quadratic problems

• Autorzy: Volkwein S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

optimal control; model reduction; proper orthogonal decomposition; a-posteriori error estimates; optimality system POD

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2011
• Tom: Vol. 40, no 4
• Strony: 1109--1124
• Opis fizyczny: Bibliogr. 23 poz., wykr.

Twórcy

autor

Volkwein S.

• Universitat Konstanz, Fachbereich Mathematik und Statistik Universitatsstraße 10, D-78457 Konstanz, Germany,

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