Modelling and feedforward control of a glass heat-conditioning process via least-squares Patterson collocation

The approximate solution of systems governed by linear differential operators in two space dimensions is achieved by a new least-squares collocation technique using Patterson quadrature points and weights. Boundary conditions which are identicaly imposed on the approximate solution may be optimised, and the scheme may be used to rapidly predict feedforward control parameters. Boundary conditions which cannot be imposed on the approximation are also considered. The technique is applied to a short-forehearth heat-conditioning green glass, and its use in the online control of such a process is discussed