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Dynamic compensators for a nonlinear conservation law

In this paper we consider the problem of designing dynamic compensators to control a class of nonlinear parabolic distributed parameter systems. We concentrate on a system with unbounded input and output operators governed by Burgers’ equation. This equation provide a one dimensional model for certain convection—diffusion phenomena. A linearized model is used to compute a robust controller (MinMax), a LQG controller and a fixed-order-finite-dimensional control law (Optimal Projection) by minimizing various energy functionals. These control laws are then applied to the nonlinear model. Different approximation schemes are used to design suboptimal active feedback controllers. This approach provides important practical information. In particular, we show how functional gains can be used to locate new sensors.

Numerical results are given to illustrate the basic ideas and to compare the various controllers. / Ph. D.

Identiferoai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/37707
Date04 May 2006
CreatorsMarrekchi, Hamadi
ContributorsMathematics, Burns, John A., Cliff, Eugene M., Peterson, Janet S., Herdman, Terry L., Wheeler, Robert
PublisherVirginia Tech
Source SetsVirginia Tech Theses and Dissertation
LanguageEnglish
Detected LanguageEnglish
TypeDissertation, Text
Formatvii, 109 leaves, BTD, application/pdf, application/pdf
RightsIn Copyright, http://rightsstatements.org/vocab/InC/1.0/
RelationOCLC# 29700056, LD5655.V856_1993.M377.pdf

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