Exponential Stabilization of a Class of Nonlinear Systems : A Generalized Gronwall-Bellman Lemma Approach

Reference : Exponential Stabilization of a Class of Nonlinear Systems : A Generalized Gronwall-Be...


	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Electrical & electronics engineering
	To cite this reference:	http://hdl.handle.net/10993/6102

Title :	Exponential Stabilization of a Class of Nonlinear Systems : A Generalized Gronwall-Bellman Lemma Approach
Language :	English
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 [> >]
Publication date :	2011
Journal title :	Nonlinear Analysis: Theory, Methods and Applications
Volume :	74
Pages :	7333-7341
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0362-546X
e-ISSN :	1873-5215
Keywords :	[en] Nonlinear affine systems ; generalized Gronwall-Bellman lemma ; exponential stabilization ; static state feedback ; static output feedback ; robustness
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/6102
DOI :	10.1016/j.na.2011.07.051

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