Optimal feedback control of the incompressible Navier-Stokes-Equations using reduced order models

A novel scheme for an optimal feedback-control of distributed parameter systems is proposed. Therefore, the optimal control problem for the two-dimensional incompressible Navier-Stokes-Equations with an actuation via boundary-conditions is set up. Afterwards the Navier-Stokes-Equations and their adj...

Full description

Saved in:
Bibliographic Details
Published in2015 54th IEEE Conference on Decision and Control (CDC) pp. 2519 - 2524
Main Authors Pyta, Lorenz, Herty, Michael, Abel, Dirk
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2015
Subjects
Boundary conditions
Cost function
Mathematical model
Optimal control
Partial differential equations
Reduced order systems
Online AccessGet full text

Cover

More Information
Summary:A novel scheme for an optimal feedback-control of distributed parameter systems is proposed. Therefore, the optimal control problem for the two-dimensional incompressible Navier-Stokes-Equations with an actuation via boundary-conditions is set up. Afterwards the Navier-Stokes-Equations and their adjoint equations are solved numerically. A model reduction is performed for both solutions using the POD-Galerkin procedure. The optimal feedback control is computed online from the reduced order models in each time step without need of further optimization. Results are shown for closed-loop simulations with the Navier-Stokes-Equations.
DOI:10.1109/CDC.2015.7402595