- Tytuł:
- Optimality system POD and a-posteriori error analysis for linear-quadratic problems
- Autorzy:
- Volkwein, S.
- Powiązania:
- https://bibliotekanauki.pl/articles/206100.pdf
- Data publikacji:
- 2011
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
optimal control
model reduction
proper orthogonal decomposition
a-posteriori error estimates
optimality system POD - Opis:
- 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.
- Źródło:
-
Control and Cybernetics; 2011, 40, 4; 1109-1124
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł