Control of Transient Coupled Radiative-conductive Heat Transfer Equation

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.