Title :
Approximation of a class of distributed parameter systems using proper orthogonal decomposition
Author :
Bartecki, Krzysztof
Author_Institution :
Inst. of Control & Comput. Eng., Opole Univ. of Technol., Opole, Poland
Abstract :
In this paper, approximation of the spatio-temporal response of a hyperbolic distributed parameter system with the use of the proper orthogonal decomposition method is discussed. Based on a simulation data set, representing the profile of a selected process variable, the model reduction procedure is performed. The procedure consists in the projection of the original data into the subspace represented by eigenvectors of the spatial covariance matrix, corresponding to its highest eigenvalues. Influence of the approximation order on the response approximation error and on the data compression ratio is also analyzed.
Keywords :
covariance matrices; distributed parameter systems; eigenvalues and eigenfunctions; reduced order systems; data compression ratio; eigenvalues; eigenvectors; hyperbolic distributed parameter system; model reduction; orthogonal decomposition; response approximation error; spatial covariance matrix; spatio-temporal response; Approximation error; Covariance matrix; Distributed parameter systems; Eigenvalues and eigenfunctions; Mathematical model; Resistance heating;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2011 16th International Conference on
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4577-0912-8
DOI :
10.1109/MMAR.2011.6031372
