Constrained regulator problem for linear uncertain systems: control of a pH process
type: Item
instance of: scholarly article
title: Constrained regulator problem for linear uncertain systems: control of a pH process
zbMATH Open document ID: 1200.93080
DOI: 10.1155/MPE/2006/51874
author: F. Mesquine
author: Fernando Tadeo
author: Abdellatif Benlamkadem
published in: Mathematical Problems in Engineering
publication date: 2010-12-01T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 93C41
Mathematics Subject Classification ID: 92E20
zbMATH DE Number: 5822540
MaRDI profile type: Publication
cites work: The resolution of equation XA+XBX=HX and the pole assignment problem
cites work: Regulator problem for linear discrete-time systems with non-symmetrical constrained control
cites work: Regulator problem for linear continuous-time systems with nonsymmetrical constrained control
cites work: Regulator problem for uncertain linear discrete‐time systems with constrained control
cites work: Robust pole assignment in complex plane regions for linear uncertain constrained control systems
cites work: Design techniques for the control of discrete-time systems subject to state and control constraints
cites work: Feedback control for linear time-invariant systems with state and control bounds in the presence of disturbances
cites work: Set invariance in control
cites work: Nonlinear Model Predictive Control: An Introductory Review
cites work: Q4851575
cites work: Control of linear systems subject to input constraints: A polynomial approach.
cites work: Semi-global exponential stabilization of linear systems subject to ``input saturation'' via linear feedbacks
cites work: Predictive control with constraints
cites work: Robust constrained regulator problem for linear uncertain systems
cites work: Regulator problem for linear systems with constraints on control and its increment or rate
cites work: pH control: handling nonlinearity and deadtime with fuzzy relational model-based control
cites work: Performance with regulation constraints
cites work: Q3128879
description: scientific article; zbMATH DE number 5822540