Nonlinear Model Order Reduction using POD/DEIM for Optimal Control of Burgers' Equation

Master thesis (2013)

Authors

Contributors

M.B. Van Gijzen (mentor)
M. Rojas (mentor)
Programme
Erasmus Mundus COSSE (EEMCS) (TU Delft)
Copyright: © 2013 Baumann, M.M.
Optimal control Proper orthogonal decomposition Burgers' equation Model-order reduction Nonlinear dynamical systems Discrete empirical interpolation method
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Published Date

15-07-2013

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Programme

Erasmus Mundus COSSE

Abstract

The model-order reduction techniques Proper Orthogonal Decomposition (POD) and Discrete Empirical Interpolation Method (DEIM) have been applied for the optimal control of Burgers' equation. Accuracy and performance of the reduced models have been studied in detail for different values of the viscosity parameter and different sizes of the discretization. Therefore, the three different optimization algorithms Newton-type, BFGS and SPG have been taken into account.