Distributed Feedback Control of the Benjamin-Bona-Mahony-Burgers Equation by a Reduced-Order Model. Issue 1 (6th March 2015)

• Record Type: Journal Article
• Authors: Piao, Guang-Ri; Lee, Hyung-Chun
• Is Part Of: East Asian journal on applied mathematics. Volume 5:Issue 1(2015)
• Page Start: 61
• Page End: 74
• Publication Date: 2015-03-06
• Subjects: 49J20, -- 76D05, -- 49B22; B-spline finite element method, -- linear quadratic regulator, -- feedback control, -- reduced-order model, -- BBMB equation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.4208/eajam.210214.061214a
• Languages: English
• ISSNs: 2079-7362

Abstract

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.