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    Distributed Parameter Control of Thermal Fluids

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    Date
    1997-04-21
    Author
    Rubio, Diana
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    Abstract
    We consider the problem of controlling a thermal convection flow by feedback. The system is governed by the Boussinesq approximation of the coupled set of Navier-Stokes and heat equations. The control is applied through Dirichlet boundary conditions. We concentrate on a two-dimensional mode and use a semidiscrete Galerkin scheme for numerical computations. We construct both a linear control and a non-linear quadratic control and apply them to the full non-linear model. First, we test these controllers on a one-mode approximation. The convergence of the numerical scheme is analyzed. We also consider LQR control for a two-dimensional heat equation.
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    http://hdl.handle.net/10919/30330
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    • Doctoral Dissertations [16360]

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