TY - JOUR
T1 - Distributed Feedback Control of the Benjamin-Bona-Mahony-Burgers Equation by a Reduced-Order Model
AU - Guang-Ri Piao & Hyung-Chun Lee
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 61
EP - 74
PY - 2018
DA - 2018/02
SN - 5
DO - http://doi.org/10.4208/eajam.210214.061214a
UR - https://global-sci.org/intro/article_detail/eajam/10779.html
KW - B-spline finite element method, linear quadratic regulator, feedback control, reduce-dorder model, BBMB equation.
AB - <p style="text-align: justify;">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.</p>