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Control and Cybernetics

Tytuł artykułu

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

Autorzy Volkwein, S. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
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.
autor Volkwein, S.
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