Title page for ETD etd-121799-163931

Type of Document Dissertation
Author Hulsing, Kevin P
Author's Email Address hulsing@icam.vt.edu
URN etd-121799-163931
Title Methods of Computing Functional Gains for LQR Control of Partial Differential Equations
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Burns, John A. Committee Chair
Borggaard, Jeffrey T. Committee Member
Cliff, Eugene M. Committee Member
Herdman, Terry L. Committee Member
King, Belinda B. Committee Member
  • Riccati equations
  • Chandrasekhar equations
  • boundary control
  • heat equation
  • LQR problem
Date of Defense 1999-10-12
Availability unrestricted
This work focuses on a comparison of numerical methods for linear quadratic regulator (LQR) problems defined by parabolic partial differential equations. In particular, we study various methods for computing functional gains to boundary control problems for the heat equation. These methods require us to solve various equations including the algebraic Riccati equation, the Riccati partial differential equation and the Chandrasekhar partial differential equations. Numerical results are presented for control of a one-dimensional and a two-dimensional heat equation with Dirichlet or Robin boundary control.
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