Title :
Backstepping design for time-delay nonlinear systems
Author :
Mazenc, Frédéric ; Bliman, Pierre-Alexandre
Author_Institution :
INRA, Montpellier, France
Abstract :
The backstepping approach is adapted to the problem of globally uniformly asymptotically stabilizing nonlinear systems in feedback form 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.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; delay systems; nonlinear control systems; Lyapunov-Krasovskii functional; asymptotic stability; backstepping design; continuously differentiable control laws; time-delay nonlinear systems; Backstepping; Control design; Control systems; Delay systems; Feedback; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robust control; Sufficient conditions; Backstepping; Lyapunov; control; delay; nonlinear;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.861701
