Stability Constraints for Robust Model Predictive Control

Stability Constraints for Robust Model Predictive Control

This paper proposes an approach for the robust stabilization of systems controlled by MPC strategies. Uncertain SISO linear systems with box-bounded parametric uncertainties are considered. The proposed approach delivers some constraints on the control inputs which impose sufficient conditions for t...

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Main Authors: Amanda G. S. Ottoni, Ricardo H. C. Takahashi, Guilherme V. Raffo
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/870189
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spelling doaj-1ab022a449cd4996aeab5613df36ff262020-11-24T23:30:51ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/870189870189Stability Constraints for Robust Model Predictive ControlAmanda G. S. Ottoni0Ricardo H. C. Takahashi1Guilherme V. Raffo2Department of Physics and Mathematics, Federal University of São João del-Rei, Campus Alto Paraopeba, Rodovia MG 443, KM 7, 36420-000 Ouro Branco, MG, BrazilDepartment of Mathematics, Federal University of Minas Gerais, Campus da Pampulha, Avenida Antônio Carlos 6627, 31270-901 Belo Horizonte, MG, BrazilDepartment of Electronic Engineering, Federal University of Minas Gerais, Campus da Pampulha, Avenida Antônio Carlos 6627, 31270-901 Belo Horizonte, MG, BrazilThis paper proposes an approach for the robust stabilization of systems controlled by MPC strategies. Uncertain SISO linear systems with box-bounded parametric uncertainties are considered. The proposed approach delivers some constraints on the control inputs which impose sufficient conditions for the convergence of the system output. These stability constraints can be included in the set of constraints dealt with by existing MPC design strategies, in this way leading to the “robustification” of the MPC.http://dx.doi.org/10.1155/2015/870189
collection DOAJ
language English
format Article
sources DOAJ
author Amanda G. S. Ottoni
Ricardo H. C. Takahashi
Guilherme V. Raffo
spellingShingle Amanda G. S. Ottoni
Ricardo H. C. Takahashi
Guilherme V. Raffo
Stability Constraints for Robust Model Predictive Control
Mathematical Problems in Engineering
author_facet Amanda G. S. Ottoni
Ricardo H. C. Takahashi
Guilherme V. Raffo
author_sort Amanda G. S. Ottoni
title Stability Constraints for Robust Model Predictive Control
title_short Stability Constraints for Robust Model Predictive Control
title_full Stability Constraints for Robust Model Predictive Control
title_fullStr Stability Constraints for Robust Model Predictive Control
title_full_unstemmed Stability Constraints for Robust Model Predictive Control
title_sort stability constraints for robust model predictive control
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description This paper proposes an approach for the robust stabilization of systems controlled by MPC strategies. Uncertain SISO linear systems with box-bounded parametric uncertainties are considered. The proposed approach delivers some constraints on the control inputs which impose sufficient conditions for the convergence of the system output. These stability constraints can be included in the set of constraints dealt with by existing MPC design strategies, in this way leading to the “robustification” of the MPC.
url http://dx.doi.org/10.1155/2015/870189
work_keys_str_mv AT amandagsottoni stabilityconstraintsforrobustmodelpredictivecontrol
AT ricardohctakahashi stabilityconstraintsforrobustmodelpredictivecontrol
AT guilhermevraffo stabilityconstraintsforrobustmodelpredictivecontrol
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