Uniform global asymptotic stability of adaptive cascaded nonlinear systems with unknown high-frequency gains

被引：8

作者：

Mazenc, Frederic ^{[2
]}

Malisoff, Michael ^{[1
]}

de Queiroz, Marcio ^{[3
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] CNRS Supelec, Signaux & Syst Lab, Projet INRIA DISCO, F-91192 Gif Sur Yvette, France

[3] Louisiana State Univ, Dept Mech Engn, Baton Rouge, LA 70803 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 04期

基金：

美国国家科学基金会;

关键词：

Adaptive control; Integral input-to-state stability; Lyapunov functions; Uniform asymptotic stability; CONTROLLER;

D O I：

10.1016/j.na.2010.09.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study adaptive tracking problems for nonlinear systems with unknown control gains. We construct controllers that yield uniform global asymptotic stability for the error dynamics, and hence tracking and parameter estimation for the original systems. Our result is based on a new explicit, global, strict Lyapunov function construction. We illustrate our work using a brushless DC motor turning a mechanical load. We quantify the effects of time-varying uncertainties on the motor electric parameters. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1132 / 1145

页数：14

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