Robust Model Predictive Control Schemes for Tracking Setpoints

This paper briefly reviews the development of nontracking robust model predictive control (RMPC) schemes for uncertain systems using linear matrix inequalities (LMIs) subject to input saturated and softened state constraints. Then we develop two new tracking setpoint RMPC schemes with common Lyapuno...

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Main Authors: Vu Trieu Minh, Fakhruldin Bin Mohd Hashim
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2010/649461
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author Vu Trieu Minh
Fakhruldin Bin Mohd Hashim
author_facet Vu Trieu Minh
Fakhruldin Bin Mohd Hashim
author_sort Vu Trieu Minh
collection DOAJ
description This paper briefly reviews the development of nontracking robust model predictive control (RMPC) schemes for uncertain systems using linear matrix inequalities (LMIs) subject to input saturated and softened state constraints. Then we develop two new tracking setpoint RMPC schemes with common Lyapunov function and with zero terminal equality subject to input saturated and softened state constraints. The novel tracking setpoint RMPC schemes are able to stabilize uncertain systems once the output setpoints lead to the violation of the state constraints. The state violation can be regulated by changing the value of the weighting factor. A brief comparative simulation study of the two tracking setpoint RMPC schemes is done via simple examples to demonstrate the ability of the softened state constraint schemes. Finally, some features of future research from this study are discussed.
format Article
id doaj-art-ae73829ce5754b43972ba6f8be16cf74
institution Kabale University
issn 1687-5249
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language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-ae73829ce5754b43972ba6f8be16cf742025-02-03T05:46:44ZengWileyJournal of Control Science and Engineering1687-52491687-52572010-01-01201010.1155/2010/649461649461Robust Model Predictive Control Schemes for Tracking SetpointsVu Trieu Minh0Fakhruldin Bin Mohd Hashim1Mechanical Engineering Department, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, 31750 Tronoh, Perak Darul Ridzuan, MalaysiaMechanical Engineering Department, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, 31750 Tronoh, Perak Darul Ridzuan, MalaysiaThis paper briefly reviews the development of nontracking robust model predictive control (RMPC) schemes for uncertain systems using linear matrix inequalities (LMIs) subject to input saturated and softened state constraints. Then we develop two new tracking setpoint RMPC schemes with common Lyapunov function and with zero terminal equality subject to input saturated and softened state constraints. The novel tracking setpoint RMPC schemes are able to stabilize uncertain systems once the output setpoints lead to the violation of the state constraints. The state violation can be regulated by changing the value of the weighting factor. A brief comparative simulation study of the two tracking setpoint RMPC schemes is done via simple examples to demonstrate the ability of the softened state constraint schemes. Finally, some features of future research from this study are discussed.http://dx.doi.org/10.1155/2010/649461
spellingShingle Vu Trieu Minh
Fakhruldin Bin Mohd Hashim
Robust Model Predictive Control Schemes for Tracking Setpoints
Journal of Control Science and Engineering
title Robust Model Predictive Control Schemes for Tracking Setpoints
title_full Robust Model Predictive Control Schemes for Tracking Setpoints
title_fullStr Robust Model Predictive Control Schemes for Tracking Setpoints
title_full_unstemmed Robust Model Predictive Control Schemes for Tracking Setpoints
title_short Robust Model Predictive Control Schemes for Tracking Setpoints
title_sort robust model predictive control schemes for tracking setpoints
url http://dx.doi.org/10.1155/2010/649461
work_keys_str_mv AT vutrieuminh robustmodelpredictivecontrolschemesfortrackingsetpoints
AT fakhruldinbinmohdhashim robustmodelpredictivecontrolschemesfortrackingsetpoints