[en] In this paper, stabilizing control design for a class of nonlinear affine systems is presented by using a new generalized Gronwall-Bellman lemma approach. The nonlinear systems under consideration can be non Lipschitz. Two cases are treated for the exponential stabilization: the static state feedback and the static output feedback. The robustness of the proposed control laws with regards to parameter uncertainties is also studied. A numerical example is given to show the effectiveness of the proposed method.
Disciplines :
Electrical & electronics engineering
Identifiers :
UNILU:UL-ARTICLE-2012-554
Author, co-author :
Ndoye, Ibrahima ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit ; University of Lorraine > Research Center for Automatic Control of Nancy (CRAN UMR, 7039, CNRS)
Zasadzinski, Michel
Darouach, Mohamed
Radhy, Nour-Eddine
Bouaziz, Abdelhaq
Language :
English
Title :
Exponential Stabilization of a Class of Nonlinear Systems : A Generalized Gronwall-Bellman Lemma Approach
Publication date :
2011
Journal title :
Nonlinear Analysis: Theory, Methods and Applications
