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

R. Postoyan (1) , Tarek Ahmed-Ali (2) , Françoise Lamnabhi-Lagarrigue (1)

1 L2S - Laboratoire des signaux et systèmes
2 Equipe Automatique - Laboratoire GREYC - UMR6072

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.

Mots clés: Sampled-data systems; Robust stabilization; Backstepping

Domaines: Automatique; Automatique / Robotique

R. Postoyan, Tarek Ahmed-Ali, Françoise Lamnabhi-Lagarrigue. Robust backstepping for the Euler approximate model of sampled-data strict-feedback systems. Automatica, 2009, 45 (9), pp.2164-2168. ⟨10.1016/j.automatica.2009.05.001⟩. ⟨hal-01058825⟩