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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Format: | Article |
Language: | English |
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Wiley
2015-01-01
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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. |
format | Article |
id | doaj-art-bdf724482931482588979f6dc31a4058 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2015-01-01 |
publisher | Wiley |
record_format | Article |
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 |