Affine Versus Multi-Affine Models for S-Variable LMI Conditions
| Autor: | Yoshio Ebihara, Dimitri Peaucelle |
|---|---|
| Přispěvatelé: | Équipe Méthodes et Algorithmes en Commande (LAAS-MAC), Laboratoire d'analyse et d'architecture des systèmes (LAAS), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université de Toulouse (UT)-Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT), Kyoto University, Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées, Kyoto University [Kyoto] |
| Rok vydání: | 2018 |
| Předmět: |
Polytopic uncertainties
LMIs 0209 industrial biotechnology Mathematical optimization Computer science 02 engineering and technology S-variables 020901 industrial engineering & automation Control and Systems Engineering Robustness (computer science) [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Affine transformation Robustness Descriptor systems |
| Zdroj: | 9th IFAC Symposium on Robust Control Design (ROCOND 2018) 9th IFAC Symposium on Robust Control Design (ROCOND 2018), Sep 2018, Florianopolis, Brazil. 8p |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2018.11.179 |
| Popis: | International audience; This short paper aims at discussing and comparing LMI results built using the S-variable approach starting from equivalent yet different representations of uncertain systems. Using the fact that S-variable results are well suited to handle descriptor systems and that descriptor system modeling is very versatile, we compare results in terms of the impact of modeling on the computational burden and on conservatism. Multi-affine representations allow reduced numerical burden while affine representations lead to less conservative results. Numerical examples show that conservatism reduction is not systematic, but is in some cases quite significant without major increase of the numerical burden. |
| Databáze: | OpenAIRE |
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