State feedback stabilization of a class of uncertain nonlinear systems on non-uniform time domains

被引：29

作者：

Ben Nasser, Bacem ^{[1
]}

Boukerrioua, Khaled ^{[2
]}

Defoort, Michael ^{[3
]}

Djemai, Mohamed ^{[3
]}

Hammami, Mohamed Ali ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, POB 802, Sfax 3038, Tunisia

[2] Univ May 8, Fac Math Informat & Mat Sci, Dept Math, 1945 Guelma,POB 401, Guelma 24000, Algeria

[3] UVHC, CNRS, UMR 8201, LAMIH, F-59313 Le Mt Houy, Valenciennes, France

来源：

SYSTEMS & CONTROL LETTERS | 2016年 / 97卷

关键词：

Time scales; Stabilization; Nonlinear systems; Exponential stability; Practical stability; LINEAR-CONTROL SYSTEMS; DYNAMIC EQUATIONS; EXPONENTIAL STABILITY; REALIZATIONS; MATRIX;

D O I：

10.1016/j.sysconle.2016.08.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the stabilization problem for a class of uncertain nonlinear systems on non-uniform time domains. Some sufficient conditions are derived to design a state feedback controller for a class of uncertain nonlinear time-varying systems under vanishing perturbations. Using some Gronwall's integral inequalities, the uniform exponential stability of the closed-loop systems on arbitrary time scales, is guaranteed. Then, based on the Lyapunov theory, new sufficient conditions are proposed to derive the controller which ensures the practical stability of the closed-loop time-invariant nonlinear uncertain system under non-vanishing perturbations. Some examples illustrate these results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：18 / 26

页数：9

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