Title :
Robust control of delay systems: A sliding mode control design via LMI
Author :
Gouaisbaut, F. ; Dambrine, M. ; Richard, J.P.
Author_Institution :
LAIL, Ecole Centrale de Lille, Villeneuve d´Ascq, France
Abstract :
In this paper, a sliding mode controller is designed for systems with multiple state delays and submitted to additive pertubations. The conditions for the existence of the sliding regime are studied by using Liapunov-Krasovskii functionals. Upper-bound of the delays are obtained by solving a convex minimisation problem expressed in terms of LMIs. Finally, an example illustrates the proposed method.
Keywords :
Lyapunov methods; control system synthesis; convex programming; delay systems; linear matrix inequalities; minimisation; robust control; variable structure systems; LMI; Lyapunov-Krasovskii functionals; additive perturbations; convex minimisation problem; multiple state delay system; robust control; sliding mode control design; upper-bound; Delay effects; Delays; Europe; Linear matrix inequalities; Optimization; Sliding mode control; LMIs; Time Delay Systems; Variable Structure Control;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
