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

Fouad Mesquine, Fernando Tadeo and Abdellatif Benlamkadem

Mathematical Problems in Engineering, 2006, vol. 2006, 1-15

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:051874

DOI: 10.1155/MPE/2006/51874

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