ISSN:
1573-2878
Keywords:
Open-loop optimal control
;
closed-loop optimal control
;
Burgers equation
;
proper orthogonal decomposition
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Proper orthogonal decomposition (POD) is a method to derive reduced-order models for dynamical systems. In this paper, POD is utilized to solve open-loop and closed-loop optimal control problems for the Burgers equation. The relative simplicity of the equation allows comparison of POD-based algorithms with numerical results obtained from finite-element discretization of the optimality system. For closed-loop control, suboptimal state feedback strategies are presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1021732508059
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