Technical communique: Robust backstepping for the Euler approximate model of sampled-data strict-feedback systems

Authors:
Romain Postoyan;Tarek Ahmed-Ali;Françoise Lamnabhi-Lagarrigue
Affiliations:
Univ Paris-Sud, LSS-CNRS Supélec, 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France;Univ Caen Basse Normandie, GREYC-CNRS, 6 boulevard du Maréchal Juin, 14050 Caen Cedex 9, France;EECI, LSS-CNRS Supélec, 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France
Venue:
Automatica (Journal of IFAC)
Year:
2009

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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.