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| HAL: hal-00197153, version 1 |
| DOI: 10.1016/j.automatica.2007.10.035 |
| Detailed view |  Export this paper |
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| Automatica 44, 7 (2008) 1874-1879 |
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| Bounded Nash type controls for uncertain linear systems |
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| Marc Jungers 1Eugênio Castelan B. 2 |
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| (2008) |
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| This paper deals with multicriteria controls for systems coping with polytopic uncertainties. The proposed controls are inspired by a Nash strategy for exactly known systems, reformulated as a nonconvex coupling between Semi-Definite Programming problems. The extension to the uncertain case duplicates the Linear Matrix Inequalities for all vertices of the polytope. A new iterative algorithm using Semi-Definite Programming is provided to design bounded Nash type controls for uncertain systems. A numerical example is given to illustrate the design method. |
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| 1: | Centre de recherche en automatique de Nancy (CRAN) |
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CNRS : UMR7039 – Université Henri Poincaré - Nancy I – Institut National Polytechnique de Lorraine (INPL) |
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| 2: | Departamento de Automação e Sistemas (DAS) |
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Federal University of Santa Catarina |
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| 3: | Systèmes et Applications des Technologies de l'Information et de l'Energie (SATIE) |
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CNRS : UMR8029 – École normale supérieure de Cachan - ENS Cachan |
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| Subject | : | Computer Science/Automatic Control Engineering |
| hal-00197153, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00197153 | |
| oai:hal.archives-ouvertes.fr:hal-00197153 | |
| From: Marc Jungers | |
| Submitted on: Friday, 14 December 2007 13:41:08 | |
| Updated on: Friday, 8 August 2008 18:38:53 | |
