Robust backstepping for the Euler approximate model of sampled-data strict-feedback systems |
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| Authors: | Romain Postoyan Tarek Ahmed-Ali Franoise Lamnabhi-Lagarrigue |
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| Affiliation: | aUniv Paris-Sud, LSS-CNRS Supélec, 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France;bUniv Caen Basse Normandie, GREYC-CNRS, 6 boulevard du Maréchal Juin, 14050 Caen Cedex 9, France;cEECI, LSS-CNRS Supélec, 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France |
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| Abstract: | Stabilization of uncertain sampled-data strict-feedback systems is addressed. The stability study is carried out on the Euler approximation of the exact discretized model of the plant. Firstly, a class of state-feedback controllers is developed that guarantees an input-to-state stability property for the closed-loop system. Additionally, assuming some hypotheses on the uncertain terms hold, a practical asymptotic stability property is ensured by designing an appropriate class of controllers. |
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| Keywords: | Sampled-data systems Backstepping Robust stabilization |
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