Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems

For the quasi-linear parameter varying (quasi-LPV) system with bounded disturbance, a synthesis approach of dynamic output feedback robust model predictive control (OFRMPC) is investigated. The estimation error set is represented by a zonotope and refreshed by the zonotopic set-membership estimation...

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Main Authors: Xubin Ping, Ning Sun
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2015/875850
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author Xubin Ping
Ning Sun
author_facet Xubin Ping
Ning Sun
author_sort Xubin Ping
collection DOAJ
description For the quasi-linear parameter varying (quasi-LPV) system with bounded disturbance, a synthesis approach of dynamic output feedback robust model predictive control (OFRMPC) is investigated. The estimation error set is represented by a zonotope and refreshed by the zonotopic set-membership estimation method. By properly refreshing the estimation error set online, the bounds of true state at the next sampling time can be obtained. Furthermore, the feasibility of the main optimization problem at the next sampling time can be determined at the current time. A numerical example is given to illustrate the effectiveness of the approach.
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institution Kabale University
issn 1110-757X
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publishDate 2015-01-01
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series Journal of Applied Mathematics
spelling doaj-art-bdf724482931482588979f6dc31a40582025-02-03T01:28:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/875850875850Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV SystemsXubin Ping0Ning Sun1School of Electro-Mechanical Engineering, Xidian University, Xi’an 710071, ChinaSchool of Electronic Engineering, Xidian University, Xi’an 710071, ChinaFor the quasi-linear parameter varying (quasi-LPV) system with bounded disturbance, a synthesis approach of dynamic output feedback robust model predictive control (OFRMPC) is investigated. The estimation error set is represented by a zonotope and refreshed by the zonotopic set-membership estimation method. By properly refreshing the estimation error set online, the bounds of true state at the next sampling time can be obtained. Furthermore, the feasibility of the main optimization problem at the next sampling time can be determined at the current time. A numerical example is given to illustrate the effectiveness of the approach.http://dx.doi.org/10.1155/2015/875850
spellingShingle Xubin Ping
Ning Sun
Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems
Journal of Applied Mathematics
title Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems
title_full Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems
title_fullStr Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems
title_full_unstemmed Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems
title_short Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems
title_sort dynamic output feedback robust model predictive control via zonotopic set membership estimation for constrained quasi lpv systems
url http://dx.doi.org/10.1155/2015/875850
work_keys_str_mv AT xubinping dynamicoutputfeedbackrobustmodelpredictivecontrolviazonotopicsetmembershipestimationforconstrainedquasilpvsystems
AT ningsun dynamicoutputfeedbackrobustmodelpredictivecontrolviazonotopicsetmembershipestimationforconstrainedquasilpvsystems