Robust Model Predictive Control Using Linear Matrix Inequalities for the Treatment of Asymmetric Output Constraints
One of the main advantages of predictive control approaches is the capability of dealing explicitly with constraints on the manipulated and output variables. However, if the predictive control formulation does not consider model uncertainties, then the constraint satisfaction may be compromised. A s...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2012/485784 |
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| _version_ | 1832556958247288832 |
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| author | Mariana Santos Matos Cavalca Roberto Kawakami Harrop Galvão Takashi Yoneyama |
| author_facet | Mariana Santos Matos Cavalca Roberto Kawakami Harrop Galvão Takashi Yoneyama |
| author_sort | Mariana Santos Matos Cavalca |
| collection | DOAJ |
| description | One of the main advantages of predictive control approaches is the capability of dealing explicitly with constraints on the manipulated and output variables. However, if the predictive control formulation does not consider model uncertainties, then the constraint satisfaction may be compromised. A solution for this inconvenience is to use robust model predictive control (RMPC) strategies based on linear matrix inequalities (LMIs). However, LMI-based RMPC formulations typically consider only symmetric constraints. This paper proposes a method based on pseudoreferences to treat asymmetric output constraints in integrating SISO systems. Such technique guarantees robust constraint satisfaction and convergence of the state to the desired equilibrium point. A case study using numerical simulation indicates that satisfactory results can be achieved. |
| format | Article |
| id | doaj-art-7769604d3e4a4eae92f570ead2df3b5b |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-7769604d3e4a4eae92f570ead2df3b5b2025-02-03T05:43:58ZengWileyJournal of Control Science and Engineering1687-52491687-52572012-01-01201210.1155/2012/485784485784Robust Model Predictive Control Using Linear Matrix Inequalities for the Treatment of Asymmetric Output ConstraintsMariana Santos Matos Cavalca0Roberto Kawakami Harrop Galvão1Takashi Yoneyama2Departamento de Engenharia Elétrica, Centro de Ciências Tecnológicas, Universidade do Estado de Santa Catarina, Praça Rua Paulo Malschitzki, Zona Industrial Norte, 89.219-710 Joinville, SC, BrazilDivisão de Engenharia Eletrônica, Instituto Tecnológico de Aeronáutica, Praça Marechal Eduardo Gomes, 50 Vila das Acácias, 12.228-900 São José dos Campos, SP, BrazilDivisão de Engenharia Eletrônica, Instituto Tecnológico de Aeronáutica, Praça Marechal Eduardo Gomes, 50 Vila das Acácias, 12.228-900 São José dos Campos, SP, BrazilOne of the main advantages of predictive control approaches is the capability of dealing explicitly with constraints on the manipulated and output variables. However, if the predictive control formulation does not consider model uncertainties, then the constraint satisfaction may be compromised. A solution for this inconvenience is to use robust model predictive control (RMPC) strategies based on linear matrix inequalities (LMIs). However, LMI-based RMPC formulations typically consider only symmetric constraints. This paper proposes a method based on pseudoreferences to treat asymmetric output constraints in integrating SISO systems. Such technique guarantees robust constraint satisfaction and convergence of the state to the desired equilibrium point. A case study using numerical simulation indicates that satisfactory results can be achieved.http://dx.doi.org/10.1155/2012/485784 |
| spellingShingle | Mariana Santos Matos Cavalca Roberto Kawakami Harrop Galvão Takashi Yoneyama Robust Model Predictive Control Using Linear Matrix Inequalities for the Treatment of Asymmetric Output Constraints Journal of Control Science and Engineering |
| title | Robust Model Predictive Control Using Linear Matrix Inequalities for the Treatment of Asymmetric Output Constraints |
| title_full | Robust Model Predictive Control Using Linear Matrix Inequalities for the Treatment of Asymmetric Output Constraints |
| title_fullStr | Robust Model Predictive Control Using Linear Matrix Inequalities for the Treatment of Asymmetric Output Constraints |
| title_full_unstemmed | Robust Model Predictive Control Using Linear Matrix Inequalities for the Treatment of Asymmetric Output Constraints |
| title_short | Robust Model Predictive Control Using Linear Matrix Inequalities for the Treatment of Asymmetric Output Constraints |
| title_sort | robust model predictive control using linear matrix inequalities for the treatment of asymmetric output constraints |
| url | http://dx.doi.org/10.1155/2012/485784 |
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