Stability analysis of bilinear systems under aperiodic sampled-data control |
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Authors: | Hassan Omran,Laurentiu Hetel,Jean-Pierre Richard,Franç oise Lamnabhi-Lagarrigue |
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Affiliation: | 1. LAGIS (CNRS UMR 8219), École Centrale de Lille, 59651 Villeneuve d’Ascq, France;2. INRIA, Project NON-A, Lille, France;3. L2S (CNRS UMR 8506), European Embedded Control Institute (EECI), SUPELEC, 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France |
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Abstract: | This note considers the problem of local stability of bilinear systems with aperiodic sampled-data linear state feedback control. The sampling intervals are time-varying and upper bounded. It is shown that the feasibility of some linear matrix inequalities (LMIs), implies the local asymptotic stability of the sampled-data system in an ellipsoidal region containing the equilibrium. The method is based on the analysis of contractive invariant sets, and it is inspired by the dissipativity theory. The results are illustrated by means of numerical examples. |
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Keywords: | Bilinear systems Sampled-data systems Local stability Linear matrix inequalities (LMIs) |
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