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Wavelet-based Model Reduction of Distributed Parameter Systems
Authors:
Nagabhushan
Mahadevan¹ and Karlene A. Hoo²
¹Department
of Chemical Engineering, University of South Carolina
²Department of Chemical
Engineering, Texas Tech University
Abstract
Mathematical models that describe distributed parameter systems are composed of systems of partial differential and algebraic equations.
The methods that solve these systems usually yield a high-order (infinite-dimensional) solution. However, for controller synthesis and
practical considerations, a low-order model is preferred. This work addresses the development of model reduction
through the use of multi-resolution methods that not only yield a finite low-order model but also a representation of the
system's multiscale and local behavior such that scale-specific compensation can be realized.
Two systems - heat transfer along a flat metal plate, and a packed bed reactor with axial dispersion are used to demonstrate the proposed
approach.
Publication Information:
Chemical Engineering Science, Vol. 55, pp
4271-5290, 2000.
Corresponding Author: Karlene A. Hoo
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