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Model Reduction & Controller Development for a Class of Distributed Parameter Systems
Authors:
Nagabhushan
Mahadevan¹ Karlene A. Hoo², and Kuzman Adzievski³
¹Department of Chemical Engineering, University of South Carolina
²Department of Chemical
Engineering, Texas Tech University
³Department of Mathematics & Computer Science, South Carolina State University
Abstract
Mathematical models that describe distributed parameter systems are composed of systems of partial differential and algebraic equations
(PDAEs). The solution of these systems are usually a high order (infinite dimensional) model. For controller synthesis and due to
practical considerations, a reduced-order model (finite) is preferred. This work addresses the development of reduced-order, finite dimensional
models by proposing to use multi-resolution methods that not only provide a control-relevant model but also yields a representation of the
system's multi-scale and local behavior.
A simple system - heat transfer along a flat metal plate, is used to demonstrate
the proposed solution and is compared to the solution obtained using singular functions approach
solutions.
Publication Information:
Proc. of 1999 American Automatic Control
Conference, San Diego, CA
Corresponding Author: Karlene A. Hoo
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