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A feedforward controller for the automatic regulation of chemical composition of molten steel in the tundish of a continuous casting machine is proposed in this work. The flow of molten steel inside the tundish is modeled as a distributed parameter system, and the resulting partial differential equation is transformed into a set of ordinary differential equations by means of the finite differences technique. From the above set and using a proper boundary condition, a feedforward control law is synthesized. No experimental tests are reported, however, the dynamic performance of the controller is illustrated by means of numerical simulations.
mathematical model for the analysis of a gas-solid reacting system is
presented. This model is an alternative to the classical shrinking-core model.
The model has a structure that can be easily transformed into a canonical
control form, which is proper for controller synthesis. Analytical solution of
the model to describe the open-loop behavior is expressed in terms of the
Lambert function. The Lambert function is evaluated from aTaylorexpansion series. Besides, a
controller is proposed to regulate the reacted layer thickness using initially
the diffusion coefficient as control input. The control law is synthesized
employing the feedback linearization technique. Main contributions of this work
are the synthesis of the layer thickness controller, and the employment of the
process temperature as substitute of the diffusion coefficient as the control