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Computation and stability of limit cycles in hybrid systems |
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| Authors: | D Flieller P Riedinger JP Louis |
| Institution: | 1. Institut National des Sciences, Appliquées de Strasbourg, 24, boulevard de la victoire, 67000 Strasbourg, France;2. Institut National Polytechnique de Lorraine, CRAN-UMR 7039, CNRS-INPL-UHP, 2 avenue de la forêt de Haye, 54516 Vandœ uvre-Lès-Nancy Cedex, France;3. SATIE, E.N.S. de Cachan, CNRS UMR 8029, 61 Avenue du Président Wilson, F 94235 Cachan Cedex, France |
| Abstract: | In this note, a practical way to compute limit cycles in context of hybrid systems is investigated. As in many hybrid applications the steady state is depicted by a limit cycle, control design and stability analysis of such hybrid systems require the knowledge of this periodic motion. Analytical expression of this cycle is generally an impossible task due to the complexity of the dynamic. A fast algorithm is proposed and used to determine these cycles in the case where the switching sequence is known. |
| Keywords: | Limit cycles Hybrid systems Sensitivity functions Stability Power converters |
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