Optimal Linear Feedback Control for Incompressible Fluid Flow

Linear feedback control is considered for large systems of differential algebraic equations arising from discretization of saddle point problems. Necessary conditions are derived by applying the Maximum Principle and have the form of constrained Riccati equations. We consider two approaches for solving the feedback control problem as well as practical numerical methods. Numerical studies using examples derived from a constrained heat equation and Stokes equation confirms the effectiveness of the approaches we consider.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2006

Author dc:creator

• Stoyanov, Miroslav Karolinov

Chair dc:contributor.committeechair

• Borggaard, Jeffrey T.

Committee members dc:contributor.committeemember

• Zietsman, Lizette
• Burns, John A.

• Control
• feedback
• incompressible
• fluid
• DAE

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-06062006-155050

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/33454