Year: 2015
East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 1 : pp. 61–74
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.210214.061214a
East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 1 : pp. 61–74
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: B-spline finite element method linear quadratic regulator feedback control reduce-dorder model BBMB equation.
-
A New Highly Accurate Numerical Scheme for Benjamin–Bona–Mahony–Burgers Equation Describing Small Amplitude Long Wave Propagation
Kutluay, Selçuk | Özer, Sibel | Yağmurlu, Nuri MuratMediterranean Journal of Mathematics, Vol. 20 (2023), Iss. 3
https://doi.org/10.1007/s00009-023-02382-6 [Citations: 3] -
Finite Element Method of BBM-Burgers Equation with Dissipative Term Based on Adaptive Moving Mesh
Lu, Changna | Gao, Qianqian | Fu, Chen | Yang, HongweiDiscrete Dynamics in Nature and Society, Vol. 2017 (2017), Iss. P.1
https://doi.org/10.1155/2017/3427376 [Citations: 9] -
Global Stabilization of BBM–Burgers’ Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis
Kundu, Sudeep | Pani, Amiya KumarJournal of Scientific Computing, Vol. 81 (2019), Iss. 2 P.845
https://doi.org/10.1007/s10915-019-01039-5 [Citations: 3] -
Distributed Control of the Stochastic Burgers Equation with Random Input Data
Lee, Hyung-Chun | Nam, YunEast Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 1 P.89
https://doi.org/10.4208/eajam.180615.080116a [Citations: 0]