Abstract
Control of the combined heat transfer process is presently under consideration for better glass manufacture with less defects. Solution of transient combined radiative and conductive heat transfer in a medium requires the solution of radiative transfer equation, which usually takes hours to converge using latest finite volume codes. Indeed transient combined radiative and conductive heat transfer in a medium is governed by nonlinear partial integro-differential equations. Simple models are necessary for real time control purposes. First this paper present a reduced model. It is obtained by a polynomial approximation for the combined heat transfer and a discretization of PDEs by finite difference method. Then a PI controller of the approximate plant is designed. Convergence is confirmed by simulation results.
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