Stabilization of incompressible flow problems by Riccati-based feedback

Bänsch E, Benner P (2012)

Publication Type: Book chapter / Article in edited volumes

Publication year: 2012

Publisher: Birkhäuser/ Springer Basel AG

Edited Volumes: Constrained Optimization and Optimal Control for Partial Differential Equations

Series: International Series of Numerical Mathematics

City/Town: Basel

Book Volume: 160

Pages Range: 5-20

ISBN: 978-3-0348-0132-4

DOI: 10.1007/978-3-0348-0133-1_1

Abstract

We consider optimal control-based boundary feedback stabilization of flow problems for incompressible fluids. We follow an analytical approach laid out during the last years in a series of papers by Barbu, Lasiecka, Triggiani, Raymond, and others. They have shown that it is possible to stabilize perturbed flows described by Navier-Stokes equations by designing a stabilizing controller based on a corresponding linear-quadratic optimal control problem. For this purpose, algorithmic advances in solving the associated algebraic Riccati equations are needed and investigated here. The computational complexity of the new algorithms is essentially proportional to the simulation of the forward problem.

Authors with CRIS profile

Eberhard Bänsch Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen)

Involved external institutions

Max-Planck-Institut für Dynamik komplexer technischer Systeme / Max Planck Institute for Dynamics of Complex Technical Systems DE Germany (DE)

How to cite

APA:

Bänsch, E., & Benner, P. (2012). Stabilization of incompressible flow problems by Riccati-based feedback. In Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich, (Eds.), Constrained Optimization and Optimal Control for Partial Differential Equations. (pp. 5-20). Basel: Birkhäuser/ Springer Basel AG.

MLA:

Bänsch, Eberhard, and Peter Benner. "Stabilization of incompressible flow problems by Riccati-based feedback." Constrained Optimization and Optimal Control for Partial Differential Equations. Ed. Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich,, Basel: Birkhäuser/ Springer Basel AG, 2012. 5-20.

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