Title :
First and second order sliding mode stabilizing controller for a perturbed regular form
Author :
Floquet, T. ; Barbot, J.-P. ; Perruquetti, W. ; Richard, J.P.
Author_Institution :
Ecole Centrale de Lille, CNRS, Villeneuve-d´´Ascq, France
Abstract :
Deals with the perturbation effects on the generalized regular form and its stabilization using first and second order sliding mode controllers. First, it is shown that if the perturbation belongs to a particular geometric distribution then it only appears in the “controlled” part of the generalized regular form. The classical matching condition obtained by Drazenovic (1969) can be recovered by this result. The last part is devoted to the stabilization problem in presence of perturbations with known bounds: a first and a second order SMC are proposed
Keywords :
MIMO systems; asymptotic stability; variable structure systems; classical matching condition; first order sliding mode stabilizing controller; generalized regular form; geometric distribution; perturbed regular form; second order sliding mode stabilizing controller; stabilization problem; Distributed computing; MIMO; Sliding mode control; Sufficient conditions; Testing;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.833211
