[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12941/jksiam.2014.18.269

INTERNAL FEEDBACK CONTROL OF THE BENJAMIN-BONA-MAHONY-BURGERS EQUATION

Piao, Guang-Ri (DEPARTMENT OF MATHEMATICS, YANBIAN UNIVERSITY)
Lee, Hyung-Chen (DEPARTMENT OF MATHEMATICS, AJOU UNIVERSITY)

Publication Information

Journal of the Korean Society for Industrial and Applied Mathematics / v.18, no.3, 2014 , pp. 269-277 More about this Journal

Abstract

A numerical scheme is proposed to control the BBMB (Benjamin-Bona-Mahony-Burgers) equation, and the scheme consists of three steps. Firstly, BBMB equation is converted to a finite set of nonlinear ordinary differential equations by the quadratic B-spline finite element method in spatial. Secondly, the controller is designed based on the linear quadratic regulator (LQR) theory; Finally, the system of the closed loop compensator obtained on the basis of the previous two steps is solved by the backward Euler method. The controlled numerical solutions are obtained for various values of parameters and different initial conditions. Numerical simulations show that the scheme is efficient and feasible.

Keywords

BBMB equation; B-spline finite element method; linear quadratic regulator; feedback control;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
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