Exponential stabilization of a class of nonlinear systems: A generalized Gronwall-Bellman lemma approach

被引：20

作者：

N'Doye, Ibrahima ^{[1
,2
,3
]}

Zasadzinski, Michel ^{[1
]}

Darouach, Mohamed ^{[1
]}

Radhy, Nour-Eddine ^{[2
]}

Bouaziz, Abdelhaq ^{[3
]}

机构：

[1] Nancy Univ, Ctr Rech Automat Nancy, CNRS, CRAN,UMR 7039,IUT Longwy, F-54400 Cosnes Et Romain, France

[2] Univ Hassan 2, Fac Sci Ain Chock Casablanca, Lab Phys & Mat Microelect Automat & Therm LP2MAT, Casablanca 20100, Morocco

[3] Univ Hassan II Ain Chock, Ecole Super Technol Casablanca, Lab Mecan Prod & Genie Ind MPGI, Casablanca, Morocco

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 18期

关键词：

Nonlinear affine systems; Generalized Gronwall-Bellman lemma; Exponential stabilization; Static state feedback; Static output feedback; Robustness; STATIC OUTPUT-FEEDBACK; BILINEAR-SYSTEMS; STABILITY; DESIGN;

D O I：

10.1016/j.na.2011.07.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：7333 / 7341

页数：9

共 35 条

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