Title page for ETD etd-4198-122057


Type of Document Master's Thesis
Author Massa, Kenneth L.
Author's Email Address kmassa@motown.lmco.com
URN etd-4198-122057
Title Control of Burgers' Equation With Mixed Boundary Conditions
Degree Master of Science
Department Mathematics
Advisory Committee
Advisor Name Title
Burns, John A. Committee Chair
Herdman, Terry L. Committee Member
Rogers, Robert C. Committee Member
Keywords
  • Burgers' Equation
Date of Defense 1998-03-23
Availability unrestricted
Abstract
We consider the problems of simulation and control for Burgers' equation with mixed boundary conditions. We first conduct numerical experiments to test the convergence and stability of two standard finite element schemes for various Robin boundary conditions and a variety of Reynolds numbers. These schemes are used to compute LQR feedback controllers for Burgers' equation with boundary control. Numerical studies of these feedback control laws are used to evaluate the performance and practicality of this approach to boundary control of non-linear systems.
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