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Distributed Feedback Control of the Benjamin-Bona-Mahony-Burgers Equation by a Reduced-Order Model

Published online by Cambridge University Press:  06 March 2015

Guang-Ri Piao  and
Hyung-Chun Lee
Guang-Ri Piao
Affiliation:
Department of Mathematics, Yanbian University, Yanji 133002, China
Hyung-Chun Lee*
Affiliation:
Department of Mathematics, Ajou University, Suwon, 443-749, South Korea
*
*Corresponding author. Email addresses: [email protected] (G.-R. Piao), [email protected] (H.-C. Lee)
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Abstract

A reduced-order model for distributed feedback control of the Benjamin-Bona-Mahony-Burgers (BBMB) equation is discussed. To retain more information in our model, we first calculate the functional gain in the full-order case, and then invoke the proper orthogonal decomposition (POD) method to design a low-order controller and thereby reduce the order of the model. Numerical experiments demonstrate that a solution of the reduced-order model performs well in comparison with a solution for the full-order description.

Keywords

49J2076D0549B22B-spline finite element methodlinear quadratic regulatorfeedback controlreduced-order modelBBMB equation
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 5 , Issue 1 , February 2015 , pp. 61 - 74
Copyright
Copyright © Global-Science Press 2015 

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