Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method
Two automatic robust model predictive control strategies are presented for uncertain polytopic linear plants with input and output constraints. A sequence of nested geometric proportion asymptotically stable ellipsoids and controllers is constructed offline first. Then the feedback controllers are a...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/380105 |
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| _version_ | 1849408857820889088 |
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| author | Longge Zhang |
| author_facet | Longge Zhang |
| author_sort | Longge Zhang |
| collection | DOAJ |
| description | Two automatic robust model predictive control strategies are presented for uncertain polytopic linear plants with input and output constraints. A sequence of nested geometric proportion asymptotically stable ellipsoids and controllers is constructed offline first. Then the feedback controllers are automatically selected with the receding horizon online in the first strategy. Finally, a modified automatic offline robust MPC approach is constructed to improve the closed system's performance. The new proposed strategies not only reduce the conservatism but also decrease the online computation. Numerical examples are given to illustrate their effectiveness. |
| format | Article |
| id | doaj-art-7f3f4ca0605d4638858e990e8a05e6dd |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7f3f4ca0605d4638858e990e8a05e6dd2025-08-20T03:35:40ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/380105380105Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities MethodLongge Zhang0Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, ChinaTwo automatic robust model predictive control strategies are presented for uncertain polytopic linear plants with input and output constraints. A sequence of nested geometric proportion asymptotically stable ellipsoids and controllers is constructed offline first. Then the feedback controllers are automatically selected with the receding horizon online in the first strategy. Finally, a modified automatic offline robust MPC approach is constructed to improve the closed system's performance. The new proposed strategies not only reduce the conservatism but also decrease the online computation. Numerical examples are given to illustrate their effectiveness.http://dx.doi.org/10.1155/2013/380105 |
| spellingShingle | Longge Zhang Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method Abstract and Applied Analysis |
| title | Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method |
| title_full | Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method |
| title_fullStr | Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method |
| title_full_unstemmed | Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method |
| title_short | Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method |
| title_sort | automatic offline formulation of robust model predictive control based on linear matrix inequalities method |
| url | http://dx.doi.org/10.1155/2013/380105 |
| work_keys_str_mv | AT longgezhang automaticofflineformulationofrobustmodelpredictivecontrolbasedonlinearmatrixinequalitiesmethod |