Title :
Model predictive control of Burgers equation based on Galerkin models
Author :
Hakenberg, Mathias ; Abel, Dirk
Author_Institution :
Fac. of Mech. Eng., RWTH Aachen Univ., Aachen, Germany
Abstract :
A feedback control design for Burgers equation is proposed using a model predictive control approach. A low-order POD Galerkin model derived from a numerical simulation of Burgers equation is used as internal controller model. The reduced-order model accurately predicts the system dynamics as a function of the actuated Dirichlet boundary condition. Closed-loop simulations for reference tracking of a single point inside the computational domain are shown for the ideal case and also in the presence of additional disturbance and measurement noise.
Keywords :
Galerkin method; closed loop systems; control system synthesis; feedback; partial differential equations; predictive control; reduced order systems; Burgers equation; Dirichlet boundary condition; closed-loop simulation; feedback control design; internal controller model; low-order POD Galerkin model; measurement noise; model predictive control; reduced-order model; system dynamics; Boundary conditions; Computational modeling; Equations; Mathematical model; Method of moments; Numerical models; Reduced order systems;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6580072
