TITLE:
Regulation of the Reacted Layer Thickness in a Gas-Solid Reacting System
AUTHORS:
Miguel A. Barron, Dulce Y. Medina, Gabriel Plascencia
KEYWORDS:
Diffusion Coefficient, Feedback Linearization, Gas-Solid System, Lambert Function, Reacted Layer, Thickness Regulation
JOURNAL NAME:
Intelligent Control and Automation,
Vol.5 No.3,
July
3,
2014
ABSTRACT: A
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
input.