Backstepping design for time-delay nonlinear systems

Frédéric F. Mazenc (1) , Pierre-Alexandre Bliman (2)

1 CONGE - Geometric control for non-linear systems
2 SOSSO2 - Applications and Tools of Automatic Control

The backstepping approach is adapted to the problem of globally uniformly asymptotically stabilizing nonlinear systems in feedbackform with a delay arbitrarily large in the input. The strategy of design relies on the construction of a Lyapunov–Krasovskii functional.Continuously differentiable control laws are constructed.

Mots clés: BACKSTEPPING; CONTROL; DELAY; LYAPUNOV; NONLINEAR

Mots clés: SYTEME NON LINEAIRE; STABILISATION

Domaines: Automatique

Frédéric F. Mazenc, Pierre-Alexandre Bliman. Backstepping design for time-delay nonlinear systems. IEEE Transactions on Automatic Control, 2006, 51 (1), pp.149-154. ⟨10.1109/CDC.2003.1272269⟩. ⟨hal-02667483⟩