Nonlinear model reduction for control of distributed systems: A computer‐assisted study
- 1 July 1998
- journal article
- process systems-engineering
- Published by Wiley in AIChE Journal
- Vol. 44 (7) , 1579-1595
- https://doi.org/10.1002/aic.690440711
Abstract
Model reduction methodologies for the partial differential equations modeling distributed parameter systems constitute an important first step in controller design. A systematic computer‐assisted study illustrating the use of two such methodologies (Approximate Inertial Manifolds and the Karhunen‐Loève expansion) in controlling (stabilizing) a nonlinear reaction‐diffusion problem is presented. The approximation quality of the models, issues of computational implementation of the reduction procedure, as well as issues of closed‐loop stability are addressed.Keywords
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