Title : 
Backstepping design for time-delay nonlinear systems
         
        
            Author : 
Mazenc, Frédéric ; Bliman, Pierre-Alexandre
         
        
            Author_Institution : 
INRIA Lorraine, Metz, 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; delays; feedback; nonlinear control systems; Lyapunov-Krasovskii function; asymptotic stability; backstepping design; continuously differentiable control laws; feedback; time delay nonlinear systems; Backstepping; Control design; Control systems; Delay systems; Feedback; Lyapunov method; Nonlinear control systems; Nonlinear systems; Programmable control; Robust control;
         
        
        
        
            Conference_Titel : 
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
         
        
        
            Print_ISBN : 
0-7803-7924-1
         
        
        
            DOI : 
10.1109/CDC.2003.1272269