Constrained regulator problem for linear uncertain systems: Control of a pH process

Mesquine, Fouad; Tadeo, Fernando; Benlamkadem, Abdellatif

doi:https://doi.org/10.1155/MPE/2006/51874

Mathematical Problems in Engineering

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Volume 2006 | Article ID 051874 | https://doi.org/10.1155/MPE/2006/51874

Constrained regulator problem for linear uncertain systems: Control of a pH process

Fouad Mesquine,¹Fernando Tadeo,²and Abdellatif Benlamkadem¹

Received08 Nov 2005

Accepted14 Feb 2006

Published09 Apr 2006

Abstract

The regulator problem for linear uncertain continuous-time systems having control constraints is considered. Necessary and sufficient conditions of positive invariance of polyhedral domains are extended to the case of continuous-time uncertain systems. Robust constrained regulators are then derived. An application to the control of pH in a stirred tank is then presented. First, the uncertainty in the pH process is evaluated from first-principle models, then the design of a robust constrained regulator is presented. Simulation results show that this control law is easy to implement and that robust asymptotic stability and control admissibility are guaranteed.

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Copyright © 2006 Fouad Mesquine et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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