Automatica, Vol.45, No.9, 2164-2168, 2009
Robust backstepping for the Euler approximate model of sampled-data strict-feedback systems
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. (C) 2009 Elsevier Ltd. All rights reserved.