Title page for ETD etd-06062006-155050


Type of Document Master's Thesis
Author Stoyanov, Miroslav Karolinov
Author's Email Address stoyanov@vt.edu
URN etd-06062006-155050
Title Optimal Linear Feedback Control for Incompressible Fluid Flow
Degree Master of Science
Department Mathematics
Advisory Committee
Advisor Name Title
Borggaard, Jeffrey T. Committee Chair
Burns, John A. Committee Member
Zietsman, Lizette Committee Member
Keywords
  • control
  • feedback
  • incompressible
  • fluid
  • DAE
Date of Defense 2006-05-24
Availability unrestricted
Abstract
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.

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